Let X = the score out of 3 points on a randomly selected quiz in a Prob
& Stat course. The table gives the probability distribution of X.
Value
0
1
2
3
Probability
0. 05
0. 15
0. 60
A) Find the missing value for P(X = 1) in the probability distribution.
B) P(X 2 2) =
C) P(X > 2) =
D) The probability of "At least 2" is equivalent to
Answers
A. The missing value for P(X = 1) is 0.20.
B. The value of P(X ≤ 2) is 0.85.
C. The value of P(X > 2) is 0.15.
D. The probability of "At least 2" is equivalent to P(X >= 2), which is 0.75.
In probability theory, a probability distribution is a function that assigns probabilities to each possible value of a random variable.
In this Problem, we have a probability distribution for the score on a quiz, with X being the random variable and the table providing the probability of each possible score. In this answer, we will use the given probability distribution to answer the questions posed.
A) Find the missing value for P(X = 1) in the probability distribution.
To find the missing value for P(X = 1), we need to use the fact that the sum of the probabilities for all possible values of X must be equal to 1. Therefore, we can set up an equation:
P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 1
Substituting in the given probabilities, we get:
0.05 + P(X = 1) + 0.60 + 0.15 = 1
Simplifying, we get:
P(X = 1) = 0.20
Therefore, the missing value for P(X = 1) is 0.20.
B) P(X ≤ 2) =
To find P(X ≤ 2), we need to add up the probabilities of X being less than or equal to 2. This is equivalent to:
P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)
Substituting in the given probabilities, we get:
P(X ≤ 2) = 0.05 + 0.20 + 0.60 = 0.85
Therefore, P(X ≤ 2) is 0.85.
C) P(X > 2) =
To find P(X > 2), we need to add up the probabilities of X being greater than 2. This is equivalent to:
P(X > 2) = P(X = 3)
Substituting in the given probabilities, we get:
P(X > 2) = 0.15
Therefore, P(X > 2) is 0.15.
D) The probability of "At least 2" is equivalent to P(X >= 2)
To find the probability of "At least 2," we need to add up the probabilities of X being greater than or equal to 2. This is equivalent to:
P(X ≥ 2) = P(X = 2) + P(X = 3)
Substituting in the given probabilities, we get:
P(X ≥ 2) = 0.60 + 0.15 = 0.75
Therefore, the probability of "At least 2" is equivalent to P(X ≥ 2), which is 0.75.
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Related Questions
Leah would like to earn at least $120 per month. She babysits for $5 per hour and works at an ice cream shop for $8 per hour. Leah cannot work more than a total of 20 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.
Which pair (x, y) represents hours that Leah could work to meet the given conditions? Select all that apply.
A.
(2.5, 15)
B.
(5, 20)
C.
(7.5, 12.5)
D.
(17.5, 5)
E.
(19, 1)
Answers
Answer:
A,B and C
Step-by-step explanation:
WILL GIVE BRAINLIST!!
What is the value of n? enter your answer in the box
n= ——- cm
Answers
Therefore , the solution of the given problem of circle comes out to be
n =4 for the length of chord.
Define circle.Each spot that is a certain distance from that other point in the plane forms a circle (center). As a result, it is a curve composed of vertices that are isolated from one another in the plane by a specific distance. Furthermore, it is axis of rotation symmetric about the center at all angles. The circle's enclosed, two-dimensional plane has every pair of endpoints uniformly separated from the "center." Draw a line thru the circle to create a circular symmetry line. Additionally, at every angle, it rotates equally about the center.
Here,
Given :
2 cords AB & CD can intersect at point P,
according to the following theorem:
|AP| |PB| = |CP| |PD|
We obtain
=>(n-2) x 16 = 8x (n+8)
using the theory of intersection between two cords.
Use the following formula:
=>16n+32 = 8n +64
=>8n -32 = 0
=>8n=32.
8 divided by both sides.
n = 32/8
n = 4
Consequently, n has a value of 4.
Therefore , the solution of the given problem of circle comes out to be
n =4 for the length of chord.
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(Car Sales) Of the cars sold during the month of July, 85 had air conditioning, 102 had automatic transmission, and 54 had power steering. 8 cars had all three of these extras. 24 cars had none of these extras. 25 cars had only air conditioning, 56 cars had only automatic transmissions, and 26 cars had only power steering. 11 cars had both automatic transmission and power steering. How many cars had exactly two of the given options
Answers
24 cars lacked power steering but did have air conditioning and an automatic gearbox.
According to the question,
No. of cars with Air conditioning = 88
No. of cars with Automatic transmission = 96
No. of cars with power steering = 76
All three = 4
None of these extras = 19
Only air conditioning = 23
Only automatic transmissions = 61
Only power steering = 28
Power steering and automatic transmission both = 11
The calculation for missing values:
11 - 4 = 7
96-61-4-7 = 24
88-24-4-23=37
It is obvious that 24 cars lacked power steering but did have air conditioning and an automatic gearbox.
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PLS HELP ASAP (100 POINTS) The equation for the line of best fit for change in temperature, y, to amount of snow, s, is given by ŷ = − 2.6s + 1.1. On Friday, the observed amount of snow was 1.3 inches and the temperature change was 1.2 degrees. Find and interpret the residual.
1.08; The line of best fit underpredicts the temperature change.
−1.08; The line of best fit overpredicts the temperature change.
−3.48; The line of best fit overpredicts the temperature change.
3.48; The line of best fit underpredicts the temperature change.
Answers
residual = 3.48
The line of best fit underpredicts the temperature change.
============================================================
Explanation:
If s = 1.3, then ŷ is...
ŷ = -2.6s + 1.1
ŷ = -2.6*1.3 + 1.1
ŷ = -2.28
This is the estimated or predicted y value based on the input s = 1.3
Let's now compute the residual
e = residual error
e = (observed y value) - (predicted y value)
e = y - ŷ
e = 1.2 - (-2.28)
e = 1.2 + 2.28
e = 3.48 is the residual
A positive residual means that the predicted y value, aka ŷ, is an underestimate compared to the true observed value. In other words, the observed y value is higher than the ŷ value. Therefore, the line of best fit under-predicts the temperature change.
PLEASE HELP!!!!!!.....
Answers
Answer:
x=2
Step-by-step explanation:
hope this helps! :D
to everyone reading this: have a miraculous day!! <3
Answer:
x=2
Step-by-step explanation:
..............
✌️❤️✌️
y
What is the equation of the graphed line written in
standard form?
3
2+
1
X=-3
y=-3
O x + y = -3
Ox-y=-3
1 2 3 4 5 X
54-3-2-14
2
-3
N
4
Answers
Answer:
A) x = -3
the line is undefined
The equation of the graphed line written in slope-intercept form is x = -3
What is the Slope-Intercept form?The graphed line in slope-intercept form, y = mx + b
To Convert it into the standard form of the equation, ax + by = c.
Consider that the points be (0, 3) and (5,0).
A Slope exists how many units it brought to go vertically or horizontally.
Which Slope doesn't exist.
The y-intercept in slope-intercept form, y = mx + b
where, m = undefined
x = -3
Therefore, the correct answer is option (A), x = -3 because the line is undefined.
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Write and equation that represents the line
Answers
Answer:
y = \(\frac{3}{4}x+2\)
Step-by-step explanation:
In the figure attached,
Graph of the line passes through the two points (0, 2) and (4, 5).
Let the equation of this line is y = mx + b
Here m = slope of the line
b = y-intercept
Since slope of the line passing through two points is represented by,
m = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
= \(\frac{(5-2)}{(4-0)}\)
= \(\frac{3}{4}\)
Y-intercept of the line 'b' = 2 units
Therefore, equation of the line will be,
y = \(\frac{3}{4}x+2\)
13. In the right triangle depicted below, what is the cosine of angle B?
Answers
Answer:
number c
Step-by-step explanation:
.............. just for filling 20 characters
the cosine of angle B
C. 0.767
How do you find the cosine of a triangle?
the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse: Also, cos A = sin B = b/c.
The cosine formula to find the side of the triangle is given by: c = √[a2 + b2 – 2ab cos C] Where a,b and c are the sides of the triangle.
Pythagoras Theorem is a generalization of the Law of Cosine.
The law of cosine can be applied in any triangle.
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Explain, using a simple numerical example, why the rate of return in perpetuity on an asset (investment) is equal to the asset's cash flow (investment) divided by the share price (investment).
Answers
The rate of return in perpetuity on an asset is equal to the asset's cash flow divided by the share price. By dividing the cash flow by the share price, we are calculating the proportion of the investment amount that is returned to the investor as income.
Let's assume you invest in a stock with an annual cash flow (dividend) of $10 and a share price of $100. To calculate the rate of return in perpetuity, you divide the cash flow by the share price: $10 / $100 = 0.1 or 10%. This means that for every dollar you invest, you receive a return of 10 cents annually. It represents the annual return on your investment as a percentage.
The rate of return in perpetuity is 10% because the cash flow is 10% of the investment amount. The reason the rate of return is equal to the cash flow divided by the share price is because it captures the income generated by the asset relative to the investment made in it.
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morgan painted a small circle on her paper. She thinks that if she painted a second circle with two 4 the diameter as the first one, that she'll need twice the amount of paint. Is morgan right?
Answers
No, Morgan is not correct. If the diameter of the second circle is twice as long as the diameter of the first circle, then the area of the second circle will be four times as great as the area of the first circle, not twice as great.
What is circle?Circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
No, Morgan is not correct. If the diameter of the second circle is twice as long as the diameter of the first circle, then the area of the second circle will be four times as great as the area of the first circle, not twice as great.
The formula for the area of a circle is given by:
A = πr^2
Where A is the area and r is the radius. The radius of the first circle is half the length of its diameter, so if its diameter is d, then its radius is d/2.
If the diameter of the second circle is twice as long as the diameter of the first circle, then its radius will be 2 * d/2 = d, and its area will be:
A = πd^2 = π(2d/2)^2 = 4π(d/2)^2 = 4A
So the area of the second circle is four times as great as the area of the first circle, not twice as great.
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Find the limit. Use l'Hospital's Rule
lim θ→π/2
1 − sin(θ)/
1 + cos(6θ)
Answers
Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.
Taking the derivative of the numerator:
d/dθ [1 - sin(θ)] = -cos(θ)
Taking the derivative of the denominator:
d/dθ [1 + cos(6θ)] = -6 sin(6θ)
Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:
lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))
When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:
= 0 / (-6)
= 0
Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.
Help, please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
student 2 is correct
Step-by-step explanation:
there are 10 \(\frac{1}{10}\) ' s in 1 , so
37 × 10 = 370 ← number of tenths in 37
0.6 = \(\frac{6}{10}\) , that is 6 tenths
then
37.6 = 370 + 6 = 376 ← number of tenths
1) 3a + a 2) 4c + 2c + c 3) 3b + 3b + 2b 4) 4d – d 5) 3c + 4c – 5c 6) 4a – 2a + 4a 7) b + 4b – 3b + b 8) 2c – 4c + 3c - c
Answers
Answer:
Answers are below
Step-by-step explanation:
1)4a
2) 7c
3) 8b
4) 3d
5) 2c
6) 6a
7) 3b
8)0
Hope this helps
Answer:
1) 4a
2) 7c
3) 8b
4) 3d
5) 2c
6) 6a
7) 3b
8) 0
Step-by-step explanation:
1) 3a + a = 4a
2) 4c + 2c + c = 7c
3) 3b + 3b + 2b = 8b
4) 4d – d = 3d
5) 3c + 4c – 5c = 2c
6) 4a – 2a + 4a = 6a
7) b + 4b – 3b + b = 3b
8) 2c – 4c + 3c - c = 0
Zoey took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1. 20 plus $3. 25 per mile. The total fare was $40. 20, not including the tip.
Write and solve an equation which can be used to determine , the number of miles
in the taxi ride.
Equation:
I
Answer: I =
Submit Answer
Answers
The equation and the answer of this question is 1.20 + 3.25x = 40.20, x = 12
According to the information that has been provided to us, the cost that the taxi company charged was $1.20, in addition to $3.25 per mile, for a total fare of $40.20.
Therefore, the equation would be:
1.20 + 3.25X = 40.20
To find the distance from Zoey’s house to the airport we need to calculate the value of X
1.20 + 3.25X = 40.20
3.25X = 39
X = 39 : 3.25
X = 12 miles
As a result, the distance from the house to the airport would be around 12 miles.
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when 6.361 rounded to two decimal places it will give as _
Answers
Here ,
We have given number 6.361
Now ,
We have to rounded it to two decimal places that 6 and 1
So,
For rounding off 6 , we get = 7
And
For rounding off 1 , we get = 0
Hence , the decimal number we get after rounding off will be 6.370 .
Figure ABCD is reflected across the y-axis.
What are the coordinates of A' B', C. and D'?
Enter your answer by filling in the boxes.
AOD
10-0-7
B'OD
D'OD
Answers
Answer:
yreflection in y-axis (x, y) → (-x, y) **the sign of the x-coordinate changes, the y value stays the same**
A'(1, 4)
B'(5, 8)
C'(5, 4)
D'(4, 2)
Step-by-step explanation:
Answer:
A'(1, 4)
B'(5, 8)
C'(5, 4)
D'(4, 2)
Step-by-step explanation:
took the test
Please help this is due
Answers
Answer:
f(6) = 0
x = 3 when f(x) = 2
Step-by-step explanation:
f(6) = -2/3(6) + 4
f(6) = -4 + 4
f(6) = 0
2 = -2/3x + 4
-2 = -2/3x
-2x = -6
x = 3
if 30 dollars is 75 ringgit how many dollars are for 250 ringgit
Answers
x= 250×30/75
x= 100 dollars
hope it helps
Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, how much soil will Persephone need to create her garden? Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, how much soil will Persephone need to create her garden? 8 by 19
Answers
Answer:
4,560 pounds of soil
Step-by-step explanation:
Ok, based on the information given we are assuming that Persephone's garden is in the shape of a square or rectangle and the measurements 8 by 19 are in feet. That being the case we first need to calculate the square footage of the garden and we do this by multiplying the length by the width like so...
8 ft * 19 ft = 152 sq. ft.
Now that we know the square footage, we calculate how much soil is needed. Since the question states that she needs 30 pounds of soil per square foot then we multiply the square footage of the garden by 30.
152 sq. ft. * 30lb = 4,560lb
Finally, we can see that Persephone will need 4,560 pounds of soil for her garden.
graph an equation on the line passing through point P(0, 0) that is perpendicular to the line when y = −9x−1
Answers
someone please help asap! 50 points + brainliest. this is the only question im stuck on
(about galaxies)
Match the galaxy type to its correct description.
column A
1. ___ elliptical
2. ___ spiral
3. ___ irregular
column B
a. defined central bulge; dusty cloud around the bulge.
b. no defined shape, the central bulge, or arms.
c. defined central bulge; dusty arms extending from the bulge.
Answers
Answer:1=a, 2=b, 3=c
Step-by-step explanation:
just smart like that
CAN U PLS ANSWER WILL GIVE BRAINLIEST
Answers
Answer: 20 hrs
Step-by-step explanation:
Question 9(Multiple Choice Worth 1 points) (01.06 LC) Solve x -5y = 6 for x.
Answers
Jill had 4 quarts, 1 pint, and 7 fluid ounces of lemonade. After selling 2 quarts, 1 pint, and 11 fluid ounces of lemonade, how much does Jill have left? (Note that there are 16 fluid ounces in 1 pint, and 2 pints in 1 quart.) Select one: O a. 2 quarts, 1 pint, and 4 fluid ounces. O b. 1 quart, 1 pint, and 12 fluid ounces. O c. 2 quarts, 1 pint, and 12 fluid ounces. O d. 1 quart, 1 pint, and 4 fluid ounces. Oe. None of alternatives a-d are correct.
Answers
Evaluating the given problem, the correct option is "None of alternatives a-d are correct."
Initial Amount :
quartz = 4
pint = 1
Fluid ounces = 7
Amount sold :
quartz = 2
pint = 1
Fluid ounces = 11
16 fluid ounces = 1 pint
2 pints = 1 quartz
pint = 1 - 1 = 0
1 quartz = 2 pints = 32 fluid ounces
32 + 7 = 39 fluid ounces
37 - 11 = 26 fluid ounces
26 fluid ounces = 1 pint 10 fluid ounces
Therefore, the amount left is 1 quartz , 1 pint and 10 fluid ounces .
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First to answer right gets brainliest!!! You are making a mosaic design on a square table top. You have already covered half of the table top with 150 1-inch square tile pieces.
A. What are the dimensions of the table top?
B. What is the measure of the diagonal from one corner to the opposite corner of the table top?
Answers
Answer:
i don't know
Step-by-step explanation:
calculate the number of months in each.use addition. a) 2 years
Answers
Answer:
24
Step-by-step explanation:
12+12
is it correct
Define Chi square test OR Tests of significance based on Chi-Square. A: -Various tests of significance described previously have mostly applicable to only quantitative data and usually to the data which are approximately normally distributed. It may also happens that we may have data which are not normally Inference: (i) If Z0 ≤ Ze we accept the H0 (ii) If Z0 >Ze we reject the H0 Example: A test of the breaking strengths of two different types of cables was conducted using samples of n1 = n2 = 100 pieces of each type of cable. Do the data provide sufficient evidence to indicate a difference between the mean breaking strengths of the two cables? Use 0.01 level of significance. x = 1925 and sigm = 40 and X2 = 1905, sigma = 30
Answers
The Chi-square test is a statistical test used to determine if there is a significant difference between observed and expected frequencies in categorical data. In this example, the test is used to assess whether there is a significant difference in the mean breaking strengths of two types of cables.
The Chi-square test of significance is employed when dealing with categorical or nominal data. It compares the observed frequencies with the frequencies that would be expected if the variables were independent. In this case, the breaking strengths of the two cables are the variables of interest.
To perform the test, the first step is to define the null hypothesis (H0) and the alternative hypothesis (Ha). In this example, H0 assumes that there is no difference in the mean breaking strengths of the two cables, while Ha suggests that there is a difference.
Next, the test statistic, denoted by X2 (chi-square), is calculated using the formula X2 = Σ[(O - E)²/E], where O represents the observed frequencies and E represents the expected frequencies under the assumption of independence.
To determine the expected frequencies, we need to estimate the means and variances of the breaking strengths. Here, x = 1925 and sigma = 40 for the first cable, and x = 1905 and sigma = 30 for the second cable.
Once the test statistic is calculated, it is compared to a critical value from the Chi-square distribution with degrees of freedom equal to (r - 1)(c - 1), where r is the number of rows and c is the number of columns in the contingency table. The significance level of 0.01 determines the critical value.
If the calculated X2 value is greater than the critical value, we reject the null hypothesis and conclude that there is sufficient evidence to indicate a difference in the mean breaking strengths of the two cables. Conversely, if the calculated X2 value is less than or equal to the critical value, we fail to reject the null hypothesis and conclude that there is no significant difference.
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Two negative consecutive integers have a sum of -39. What are the
integers?
Answers
Answer:
I think the integers are -19 and -20.
Step-by-step explanation:
Hope this helps!
Write an algebraic expression to model each situation.
in the first quarter, the football team made two touchdowns and one field goal.
Answers
The needed algebraic expression is 2y + x for the condition.
Given that,
To determine an algebraic expression to sport each condition
"in the first quarter, the football team made two touchdowns and one field goal".
The equation is the relationship between variables and is represented as y =ax + b is an example of a polynomial equation.
Let,
The goal filled = x
The touchdown = y
the football team made two touchdowns and one field goal,
= 2y + x
Thus, the needed algebraic expression is 2y + x for the condition.
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Alice has 24 apples. In how many ways can she share them with becky and chris so that each of the three people has at least two apples?
Answers
There is a total of 190 ways to share apples between them.
What is a ball-and-urn method?
The ball-and-urn method often referred to as stars-and-bars, sticks-and-stones, or dots-and-dividers is a typical combinatorial method.
It is used to resolve issues of the following type: in how many different ways can one divide 'k' undifferentiable items into 'n' distinct bins?
Use the ball-and-urn method, Let Alice get 'x' apples, Becky get 'y' apples, and Chris get 'z' apples.
⇒x + y + z = 24
We can manipulate this into an equation that can be solved using the ball-and-urn method
All of them get at least 2 apples, so we can subtract 2 from x, 2 from y, and 2 from z.
⇒(x - 2) + (y - 2) + (z - 2) = 18
Let x' = x - 2, y' = y - 2, z' = z - 2.
⇒ x' + y' + z' = 18
We can allow either of them to equal 0, hence this can be solved by the ball-and-urn method.
By the ball-and-urn method, we get
\($\binom{18 + 3 - 1}{3 - 1} = \binom{20}{2} = \ 190}$.\)
Hence, there are 190 ways to split the apples among them.
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