Question: Let X be a random variable such that there are three possible values of X: 0, 10 and 20. The probability of X=0 is 0.2,

Let X be a random variable such that there are three possible values of X: 0, 10 and 20. The probability of X=0 is 0.2, and the probability of X=10 is p, where p is between 0 and 1. Also, Y is another random variable with two possible values: 0 and 10. If X=0, then Y is equally likely to be 0 and to be 10. Furthermore, if X=10, then Y is 0 with probability q and Y is 10 with probability 1-q, where q is between 0 and 1. Also, Y is 0 whenever X=20. Let p=0.23 and q=0.74. What is E(Y)

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