3.12 Let Y be a random variable with p(y) given in the accompanying table. Find E(Y), E(1/Y), E(Y²-1), and V (Y). 2 3 .3 .2 y p(y) 1 .4 4 .1

Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.

3.6

tings | Pega T Pro Chapter 4 Mathematical Erpectation Jues, 4.65 Let X represent the number that occurs when a red die is tossed and Y the number that occurs when a green die is tossed. Find ours, (a) E(2.X +Y); d of (b) E(X-2Y); has (c) E(2XY). 4.66 Let represent the number that occurs when a Dumber that occurs when