Problem 8 (p.204#15). Show the following.a) If X and Y are independent random variables,V(X-Y) = V(X) +V(Y)b) Let D₁ and D₂ represent two draws at random with replacement from a population withE(D₁) = 10, S(D₁) = 2. Find a number c such thatP(|D₁ - D₂|

Given: (a) X and Y are independent random variables. Required: To prove VX-Y=VX+VY

Answered: Problem 8 (p.204#15). Show the…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Problem 8 (p.204#15). Show the following. a) If X and Y are independent random variables, V(X-Y)= V(X) +V(Y) b) Let D₁ and D₂ represent two draws at random with replacement from a population with E(D₁)= 10, S(D₁) = 2. Find a number c such that P(|D₁ - D₂|