Let A Unif(1,2), B ~ ~ Unif(2,3), C ~ Unif(3,4). Define W = B/A and Y...

 

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Let A Unif(1,2), B ~ ~ Unif(2,3), C ~ Unif(3,4). Define W = B/A and Y = C/B and Z = max(W, Y). (a) (10 points) Find the P(Y > W). (b) (15 points) Randomly sample 10000 draws from the distribution of Z and display them with a histogram. (c) (5 points) What is the expected values of Z? Let A Unif(1,2), B ~ ~ Unif(2,3), C ~ Unif(3,4). Define W = B/A and Y = C/B and Z = max(W, Y). (a) (10 points) Find the P(Y > W). (b) (15 points) Randomly sample 10000 draws from the distribution of Z and display them with a histogram. (c) (5 points) What is the expected values of Z?