Let X be a discrete random variable with pmf p given by: -2 -1 0 1 2 1/15 2/15 3/15 4/15 5/15 X p(x) (a) Let Y = X². Find the pmf of Y. (b) Find the value the cdf of X at -1/2, 3/4, 7/8, 1, 1.5, 5. (c) Find the value the cdf of Y at -1/2, 3/4, 7/8, 1, 1.5, 5.

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Q: 1 The discrete random variable X has Var (X) = 5 Find Var (4X – 3)

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A: and  are uncorrelated random variables.

Q: lom variable X is given below. fx(x) 1 2 a random variable Y, where whose PDF is given below. fy(y)

A: *Answer:

Q: Let X be a random variable with E(X)= 1 and E[X(X-1)]=4,then evaluate Var(2-3X).

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Q: For a uniform random variable U∼U(0,14)U∼U(0,14), find the probability P(U>11)P(U>11): P(U>11)

A: From the provided information, U~U(0, 14) a = 0 and b = 14

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A: It is given that   Var(X) = 1 Var(Y) = 2

Q: Find the covariance between x and y

A:

Q: 4

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Q: 2A random variable has a pimif given by olw

A: Solution

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A: The provided information is: n=81x¯=50y¯=55σ2x=25σ2y=144σxy=34.50

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Q: Where does the z=2 come from? Just from X, and Y also being random variables?

A: Solution of the asked question is in step below.

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A: