This means that for any Borel set B, we have the following
:$$\int_B\psi(X(\omega))dP(\omega) = \int_B\psi(x)dP_X(x) = \int_{X^{-1}(B)}Y(\omega)dP(\omega)$$
To verify the given question, we need to show that
E(ψ(X)g(x)) = E(Yg(x)),
for any function g for which both expectations exist.
The conditional expectation
ψ(x) = E(Y | X)
satisfies
E(ψ(X)g(x))
= E(Yg(x)),
for any function g for which both expectations exist.Let us solve the given question. Consider the random variable Y and X. Given
X=x, we define the conditional expectation as the function of
x, ψ(x)
= E(Y | X
=x)ψ(x)
is X-measurable.
This means that for any Borel set B, we have the following:
$$\int_B\psi(X(\omega))dP(\omega)
= \int_B\psi(x)dP_X(x)
= \int_{X^{-1}(B)}Y(\omega)dP(\omega)$$
To verify the given question, we need to show that
E(ψ(X)g(x))
= E(Yg(x)),
for any function g for which both expectations exist. Let us show the verification below.
$$\begin{aligned} E(\psi(X)g(X)) &
= \int \psi(X(\omega))g(X(\omega))dP(\omega) \\ &
= \int\left(\int Y(\omega)dP(\omega)|X(\omega)
= x\right)g(x)dP_X(x) \\ &
= \int Y(\omega)\left(\int g(x)dP_{Y|X}(y|x)\right)dP(\omega) \\ &
= \int Y(\omega)g(X(\omega))dP(\omega) \\ &
= E(Yg(X)) \end{aligned}$$
Therefore, we have shown that
E(ψ(X)g(x))
= E(Yg(x)),
for any function g for which both expectations exist.
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Sketch a graph showing the solution to each system.If you can't do both then do Question C.
(C)
Given data:
The given inequalities.
The graph of the given inequalities is shown below.
Why are you allowed to move the decimal points before
dividing with decimals? Explain your reasoning.
Sample Response: If you move the decimal point the same number of places in the dividend and the divisor, you are multiplying them both by the same power of 10. That does not change the quotient.
Answer: If you move the decimal point the same number of places in the dividend and the divisor, you are multiplying them both by the same power of 10. That does not change the quotient.
Step-by-step explanation: I did ed ofcc
Caden owns 9 white t-shirts and 9 t-shirts in other colors ? If Caden randomly selects a t-shirt to wear, what is the probability it will be white?
Answer:
1/2
Step-by-step explanation:
Answer:
it is 1/2 or 9/18
Step-by-step explanation:
there was 18 shirts all together and half were white
good luck!
Help please and thank you
Answer:
I checked it and the person above me is correct. Give em brainlyest! Your welcome other person
Step-by-step explanation:
the arizona department of transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed to 75 from 65 mph. at least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.03 of the true proportion?
At least 99% confidence that the sample percentage is inside 0.03 of the absolute proportion is required for 1844 residents.
Choose p = 0.5 since the previous estimate of population percentage is uncertain.
E = 0.03 is the margin of error.
A 99% confidence interval requires the following crucial value: \(z_{a/2}\) = 2.576
The act of deciding how many observations or repetitions to incorporate into a statistical sample is known as sample size determination.
The sample size,
n = 0.5 × (1 - 0.5) × (\(z_{a/2}\) ÷ E)²
n = 0.25 × (2.576 ÷ 0.03)²
n = 1843.27 ≈ 1844
As a result, the needed sample size is 1844.
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10x + 1 + 12x - 5 = 180 Find x
Answer:
x = 92/11
Step-by-step explanation:
10x + 1 + 12x - 5 = 180
*group the like terms*
(10x + 12x) + (1-5) = 180
*simplify*
22x - 4 = 180
*add four on both sides to cancel out -4*
+4. +4
*simplify*
22x = 184
*divide both sides by 22 to cancel out the quantity and solve for x*
÷22 ÷22
*simplify*
x = 92/11
Answer:
x = 92/11, x = 8.36 repeating the .36, or x = 8 4/11
Step-by-step explanation:
Angad was thinking of a number. Angad adds 11, then divides by 8 to get an answer of 5. What was the original number?
Answer:
29
Step-by-step explanation:
x+11÷8=5
5 × 8 = 40
40- 11 = 29
29 + 11 ÷ 8 =5
Given w= sqrt2 (cos ( pi / 4 ) + i sin ( pi / 4 ) ) and z = 2 (cos ( pi / 2 ) + I sin ( pi /2 ) ) , what is w – z expressed in polar form?
w = √2 (cos(π/4) + i sin(π/4)) = √2 (1/√2 + i/√2) = 1 + i
z = 2 (cos(π/2) + i sin(π/2)) = 2i
Then
w - z = (1 + i) - 2i = 1 - i
so that
|w - z| = √(1² + (-1)²) = √2
and
arg(w - z) = -π/4
In polar form, we have
w - z = √2 (cos(-π/4) + i sin(-π/4)) = √2 (cos(π/4) - i sin(π/4))
Answer:
Step-by-step explanation:
Determinar el valor de K,si:
K=(-1/2 + 7)¯² + 105⁰=
Answer:
\({ \tt{k = ( - \frac{1}{2} + 7) { }^{ - 2} + 105 {}^{0} }} \\ \\ { \tt{k = {( \frac{13}{2} )}^{ - 2} + 1 }} \\ \\ { \tt{k = {( \frac{2}{13}) }^{2} + 1}} \\ \\ { \tt{k = \frac{4}{169} + 1 }} \\ \\ { \tt{k = \frac{173}{169} }}\)
Which method do we not use when defining function?
A. Mapping method
B. Vertical line test
C. Horizontal line test
D. “Every x can only have one y”
helppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
Answer:
a) 8:20
b) 14:28
Step-by-step explanation:
Solve the differential equation y'=1-y^2 Solve for y and explain your answer. Also state the equilibrium and nonequilibrium solutions.
y(x) = tan(x + C) where C is an arbitrary constant of integration. Thus, the equilibrium solutions are y = 1 and y = -1. The non-equilibrium solutions are the values of y that make y' not equal to 0.
EQUILIBRIUM AND NON-EQUILIBRIUMThe general solution to the differential equation y' = 1 - y² is:y(x) = tan(x + C)
Where C is an arbitrary constant of integration.
The equilibrium solutions are the values of y that make y' = 0, which occur when y² = 1. Thus, the equilibrium solutions are y = 1 and y = -1.The non-equilibrium solutions are the values of y that make y' not equal to 0. So the non-equilibrium solutions are the values of y that make y² different from 1, which are values of y that are not 1 or -1.The solution y(x) = tan(x + C) is a family of functions indexed by the arbitrary constant C. The constant C cannot be determined from the information given in the problem, and so the general solution contains all possible specific solutions.
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10 points
Find the DISTANCE between point (3, -8) and point (-11,5). *
Answer:
19.1
Step-by-step explanation:
plsssssssssss help me
Answer: 40
Step-by-step explanation:
38+ 52=90
230-90=40
The division 4+2i/8-3i is performed by multiplying the numerator and denominator by
The division 4+2i/8-3i is performed by multiplying the numerator and denominator by (8+3i).
GivenThe division 4+2i/8-3i is performed by multiplying the numerator and denominator by
Expression; \(\rm \dfrac{4+2i}{8-3i}\)
A complex conjugate is formed by changing the sign between two terms in a complex number i.e. a+ ib has conjugate a-ib and a- ib has conjugate like a+ ib.
The division 4+2i/8-3i is performed by multiplying the numerator and denominator by (8+3i).
\(=\rm \dfrac{4+2i}{8-3i}\\\\= \rm \dfrac{4+2i}{8-3i}\times \dfrac{8+3i}{8+3i}\\\\= \dfrac{(4+2i) \times (8+3i)}{(8)^2-(-3i)^2}\\\\= \dfrac{32+12i+16i+6i^2}{64+9}\\\\=\dfrac{32+28i+6i^2}{73}\)
Hence, The division 4+2i/8-3i is performed by multiplying the numerator and denominator by (8+3i).
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CAN YALL HELP ME WITH THIS ONEEE!!!!! PLZ
Answer:
b
Step-by-step explanation:
12x12
11x11
10x10
9x9
8x8
7x7
6x6
5x5
4x4
3x3
2x2
1x1
add em together equal 650
Quick question: is this correct?
Answer:
aha
you know what I mean
mean I guess your correct
Answer:
yes
Step-by-step explanation:
Can you help me match all of these :( please :(
try looking the up
Step-by-step explanation:
trylooking them up
Which statement is sufficient evidence that DEF is congruent to ABC?
please please please help me
Answer:
360 cubic inches
Step-by-step explanation:
To find the volume of a rectangular, multiply its height by its width and by its length. We are given these values above.
8*5=40
40*9=360 cubic inches
Or:
8*5*9= 360 cubic inches
how do I solve this?
Answer: I cant see the problem
Step-by-step explanation:
Answer:
Where is the question?
Step-by-step explanation:
As the bus station, there are eight lines for arriving passengers, each staffed by a single worker. The arrival for passengers is 124 per hour and each passenger takes (on average) 3 minutes for a worker to process. The coefficient of variation for arrival time is 1,4 and the coefficient of variation for service time is 1.
How much time in minute will an how many customers spend in queue?
At the bus station, there are eight lines for arriving passengers, each staffed by a single worker. The arrival rate for passengers is 124 per hour, which means the arrival rate per minute is 124/60 = 2.067 passengers per minute. Each passenger takes an average of 3 minutes for a worker to process, so the service rate per worker is 1/3 = 0.333 customers per minute.
Since there are eight workers, the combined service rate for all workers is 8 * 0.333 = 2.664 customers per minute. The coefficient of variation for arrival time is 1.4, and the coefficient of variation for service time is 1.
To find the average number of customers in the queue, we can use the formula:
Lq = (Ca^2 + Cs^2) * (λ^2) / (2 * (µ - λ))
Where Lq is the average number of customers in the queue, Ca is the coefficient of variation for arrival time, Cs is the coefficient of variation for service time, λ is the arrival rate, and µ is the service rate.
Lq = (1.4^2 + 1^2) * (2.067^2) / (2 * (2.664 - 2.067))
Lq = (1.96 + 1) * (4.276) / (2 * 0.597)
Lq ≈ 7.34 customers in the queue
To find the average time a customer spends in the queue, we can use the formula:
Wq = Lq / λ
Wq = 7.34 / 2.067
Wq ≈ 3.55 minutes
On average, customers spend approximately 3.55 minutes in the queue.
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Lina is making a spreadsheet for an assignment. The spreadsheet, when completed, will be 191 lines long, and Lina has already completed 59 lines.
x + 59 = 191
How many lines does Lina have left to complete?
A. 250
B. 221
C. 73
D. 132
If the mean of a normal distribution is negative, Group of answer choices the variance must also be negative. none of these alternatives is correct. a mistake has been made in the computations, because the mean of a normal distribution cannot be negative. the standard deviation must also be negative.
The main answer to the question is: None of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative. The explanation to support the answer is given below:
Normal distribution is a statistical distribution that depicts how values are dispersed in a dataset. It is also known as Gaussian distribution or bell curve because of its bell-shaped pattern. It is described by two parameters, i.e., mean and standard deviation.The mean of a normal distribution specifies the location of the center of the distribution. The variance of a normal distribution indicates the amount of variation from the mean. Variance is always positive, no matter whether the mean is positive or negative.
Therefore, if the mean of a normal distribution is negative, the variance must not be negative.Hence, none of these alternatives is correct. If the mean of a normal distribution is negative, the variance must not be negative.
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anyone HELP I WILL GIVE BRAINLIEST - its my sisters and i forgot everything in math shes in grade 9
We have to find horizontal component of Mayosons velocity.
#a
\(\\ \tt\bull\leadsto V_x=vsin\theta\)
\(\\ \tt\bull\leadsto V_x=2.5sin36\)
\(\\ \tt\bull\leadsto V_x=2.5(0.58)\)
\(\\ \tt\bull\leadsto V_x=1.45m/s\)
#b
Here 2 vectors A=8 and B=2.5\(\\ \tt\bull\leadsto \overrightarrow{R}\)
\(\\ \tt\bull\leadsto \sqrt{A^2+B^2+2ABcos\Theta}\)
\(\\ \tt\bull\leadsto \sqrt{8^2+2.5^2+2(8)(2.5)cos36}\)
\(\\ \tt\bull\leadsto \sqrt{64+6.25+40(0.8)}\)
\(\\ \tt\bull\leadsto \sqrt{70.25+32}\)
\(\\ \tt\bull\leadsto \sqrt{102.25}\)
\(\\ \tt\bull\leadsto 10.15m/s\)
HELP PLZ!! NOW!!!!! IM SLEEPY!!!!!!
Answer:
CHRISTMAS TREES
Step-by-step explanation:
for each number in the matrix, start by subtracting 1, then divide the number you got by 2
Jenna works a job where her pay varies directly with the number of hours she has worked. In one week, she worked 35 hours and made $274.75. How many hours would she need to work in order to earn $337.55?
Figure J, the small quadrilateral, was dilated with the origin as the center of dilation to create Figure K, the large quadrilateral.
Which rule best represents the dilation that was applied to Figure J to create Figure K?
!you can open the image in a new tab to make it bigger!
Answer:
(x, y) -> (2.5x, 2.5y)
Step-by-step explanation:
To find which equation is correct, first, let's find a similar point of Figure J and Figure K.
Figure J: (-3, -2). Figure K: (-7.5, -5)As you can see, Figure J was enlarged by a SF of 2.5 because -3 x 2.5 = -7.5, and -2 x 2.5 = -5.
Therefore, the answer is (x, y) -> (2.5x, 2.5y).
hello please help thanks
Answer:
D
Step-by-step explanation:
it states that the snikholes are from underneath when the soil it lose
What is lim
x²-4?
X-2 X+2
O-4
O 0
04
ODNE
Answer:
A
Step-by-step explanation:
\(\lim_{x \to -2} \frac{x^{2}-4 }{x+2} \\\lim_{x \to -2} \frac{(x+2)(x-2)}{x+2}\\ \lim_{x \to -2} x-2\\= -4\)
Answer:
First answer choice
\(- 4\)
Step-by-step explanation:
\(\lim _{x\to \:-2}\left(\dfrac{x^2-4}{x+2}\right)\\\\\\\mathrm{Simplify}\:\dfrac{x^2-4}{x+2}\\\\\\\mathrm{Factor}\:x^2-4:\quad (x + 2)(x - 2)\\\\\lim _{x\to \:-2}\left(\dfrac{x^2-4}{x+2}\right) \\\\= \lim _{x\to \:-2}\left(\dfrac{x+2)(x-2)}{x+2}\right)\)
The x+2 common factor cancels out
\(= \lim _{x\to \:-2}\left(x-2\right)\\\\\text{Plug in the value x= -2}\\\\= -2 - 2\\= -4\)