(a) Find the probability PLY>X) (b) Find the marginal distributions of X and Y. (c) Are X and Y independent? If not, find Cov(X, Y).

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A: Given Yi ~U(0,θ) pdf  f(y)=1/θ 0<y<θ  Cdf  F(y)=y/θ

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:

Q: The random variables X,Y have variance Var(X)=36 and Var(Y)=1 and their correlation is Cor(X,Y)=−34.…

A: Formula used Var ( X+Y) = Var(X)+Var(Y)+2Cov(X,Y)

Q: Find the marginal PDFs of X and Y.

A: The joint pdf is given by

Q: (a) What value of c makes this a joint pdf? (b) Find the marginal distributions for X and Y . (c)…

A: We want to find  (i) the value of c  (ii) Marginal of X amd Y  (iii) Check whether it is independent…

Q: Let X b(16, find E(4-3x) and distribution function.

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

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Q: Let X and Y have the joint pdf f(x,y)= x+y , 0<=x<=1, 0<=y<=1.    Find the marginal fx(x) and…

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: Let x be a continuous random variable with PDF 3 x > 1 x4 fx (x) otherwise Find the mean and…

A: Given PDF is fX(x) = 3x4,x ≥ 10,otherwise

Q: Let X - U[0, 1]. Find the distribution of Y = 1 - X.

A:

Q: Suppose that a single binary digit (0 or 1) is to be transmitted through a transmission channel.…

A: The objective of this question is to determine the probability of receiving the digit 1, the…

Q: Suppose that X and Y have the joint probability distribution shown to the right. f(x,y) 2 4 (a) Find…

A: The joint probability distribution of X and Y is given below: f(x,y)    x  y     2 4…

Q: Let X be a random variable with pdf: f(x)= k(10 - 2x) for x being [0,5]  a.) Find k b.) Find E(X)…

A: GIVEN DATA : X is the random variable with probability density function fx=k10-2x in the interval of…

Q: (16) Let X U(3) find Var-x) and distribution function.

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A:

Q: (47) Let X b(8, -) find E(5+6x) and distribution function.

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Q: Obtain regression curve of Y on X for the following distribution : y f (x, y) = +1 exp (l + x) y 1+x…

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Q: Let X ~ U[0,1] and Y = -βln(1-X). What is the distribution of Y? Justify.

A: Solution

Q: Let X be a random variable with uniform distribution on the interval [-2,2]. Let Y be defined as Y =…

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Q: Simplify the likelihood ratio A A Λ Δ max (μ1,...,fr,0²) o max l (μ1,..., flor, 0²) ³ (1,0²) O l…

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Q: (16) Let X =U(3) find Var(-x) and distribution function.

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Q: Use the geometric distribution to derive E(Y), E(Y^2), and V(Y) from the Poisson distribution

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Q: (13) Let X b(6,) find E(5+6x) and distribution function.

A: (13) The random variable X follows binomial distribution with sample size 6, and probability of…

Q: Let X and Y have the joint pdf f(x,y)= x+y , 0<=x<=1, 0<=y<=1.  Calculate the mean(x)

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

Q: The time to wait between each phonecall a person recives is random given f(t) = 3e-3t for t>=0. Let…

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Q: Let f(x, y) = x + y for 0 < x < 1 and 0 < y < 1 The Conditional Variance of Y when X = ; is

A: From the given information, the joint density function for X  and Y is,