Suppose that X and Y are independent random variables with the probability densities given below. Find the expected value of Z=XY. 162 X³ g(x) = 0₁ -. x>9, elsewhere The expected value of Z = XY is. (Simplify your answer.) h(y) = 0, 0

Q: Determine the expected value of X. Determine the expected value of Y. Determine the expected value…

A: EX=∫X*g(X)dX=∫01X2XX+13dX=∫2X2X+13dX=∫2X3+2X23dX=2X4401+23X3301=12+29=0.722…

Q: Let X be a random variable with the probability distribution below. Find Horx), where g(X)= (2X+3)-.…

A:

Q: For two random variables X and Y where X∼ exponential(0.5) and Y|X = x ∼ N(5,x2), find E(E(X|Y ))

A: Given, Two random variables X and Y such that X~Exp(0.5) and Y|X=x ~N(5,x2)

Q: Select one: а. О b. 2 C. var(x) d. - 2 e. 1

A: To find the value E[X(1-X)].

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A:

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A: To find P(Y≤5) and P(Y>8) by the distribution function.

Q: (1) Let X and Y be independent random variables with distributions tilli 0 1 2 0 1 2 3 Pr(X = r)…

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

Q: Q1. Given that (x, y) = (3x+2y)/5k if x = 1,5 and y = -2,3, is a joint probability distribution…

A: I solved exactly first three subparts because of bartleby policy if you want more please upload…

Q: E(Y) –> P(Y > n).

A:

Q: the probability

A:

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A:

Q: If 'X' is a continuous random variable, then the expected value is given by a. JXP(X) O b. No value…

A: Given that  X is continuous random variable

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A: To find the value of c we will use the fact that the summation of f(x) over entire range is always…

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A:

Q: During a Formula 1 test. 25% of the cars that participated in the test experienced a tire blowout.…

A: Correct answer is  (C) 0.1484

Q: A grade in a probability course depends on exam scores X1 and X2. The professor, a fan of…

A: As per guidelines of Bartleby,we are giving here solution of first 3 parts only.

Q: Let Y be the Exponential random variable withl > 0. Find the following probabilities. 1(1 3(1

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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A: Note: As per bartleby guideline for more than three sub part only first three are to be answered…

Q: Let X and Y be independent, taking on {1,2,3,4,5} with equal probabilities.  E((X+Y)2)=?

A: We have given that X and Y be independent random variables.   The distribution of X is: P( X=x ) =…

Q: Given that X and Y are independent random variables and E(X) = 4, E(Y) - 7, Var(X) = 3. Var(Y) = 6.…

A: given data   E(X) = 4, E(Y) - 7, Var(X) = 3. Var(Y) = 6. find Var(10X - 3Y) = ?

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A: Discrete probabilty  The conditions of the probability is 1) p(x) ≥ 0 2) Σp(x)=1

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A: has a standard Gaussian distribution on .

Q: Find: (f(x\y = 4)

A: Here construct joint probability distribution table from given information

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A: Given EX=7 and EY=3.Let Z=X-Y.Then,E(Z)=4

Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

A: The following information has been given: We have given that X is a discrete random variable.  P(X =…