Y, (a) Find the expectation E (X) of X. E (X) = (b) Find the variance Var(X) of X. Var(x) =

Q: ∑ X =            ∑ X2 =          ∑ Y =         ∑ Y2 =       ∑ XY =        N =     r =

A: It is important in statistics . It is widely used .

Q: Let X = b(8,) find E(5+6x) and distribution function.

A: 3) From the given information, X≈b(8, 14) E(X)=8*14=2 Consider, E5+6x=5+6E(X)…

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A:

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A: From the given information,The density function is,

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A: Solution

Q: y = [e2* + (x + In x)³1* %3D

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: then the value of variance of X is

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Given the data in the table, find: (a) F(x) = f(g(x)) (b) G(x) = f(f(x))

A: Given:  A table of data is given. To Find:  a Fx=fgxb Gx=ffx

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A: Uniform Distribution: It is the continuous distribution between a particular range (a and b) and the…

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A: a) The expectation is calculated as follows: EX=∫01x6x-x2dx=∫016x2-x3dx=6x33-x4401=613-14=612=12

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Q: :If Z = ax + by and yis the correlation coefficient between Xand Y. Show that (a) o = a°o% +b²o…

A: Solution for this question is as given:

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A: Given,  Yt is a weakly stationary process with autocovariance function γk

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A:

Q: Then the variance of Y is

A: Given, E(Y/X=x)=2xvar(Y/X=x)=4x2 f(x)=1, 0&lt;x&lt;10, e.w

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A: Solution: The joint PMF of (X, Y)   value of Y    14 22 30 40 65 Total  Value of X 1 0.02…

Q: F(x,y) = { (x+y)/42 ; x = 1,2,3  y = 1,2                 0; elsewhere ] (i) Find the mean for the…

A: F(x,y) : { (x+y)/42 ; x=1,2,3 y=1,2  ; 0 elsewhere } Mean : E(X) = sum(x*P(x))

Q: Suppose that X has a hypergeometric distribution with N = 2,000, K = 800, and n = 200. Find the…

A: N=2000 K=800 n=200 x~Hypergeometric(N=2000,K=800,n=200) P(X=x)=KxN-Kn-xNn ; x=0,1,...,n

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Q: g(X)=x^2+1 λ=5 X ∼ exp(λ) E [g (X) | {X> 3}] conditional expected Calculate the value.

A: Given X~Expλ with λ=5 gX=x2+1

Q: 9. (25 points) Let X and Y be a random variables of the continuous type having the joint pdf f(x, y)…

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Q: Calculate the conditional expectation of Y when X E(YX2)

A: The objective is to calculate the conditional expectation of Y when X = 2.

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A: As per Bartleby rules we have to answer only first three questions

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A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

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Q: R- exp(A) E [g (X) | {X> 3}] ca

A: The value of gx=x2+1. For X~expλ, fxx&gt;3=fxPX&gt;3=λe-λx∫3∞λe-λxdx=λe-λxe-3λ. To determine the…