Question: answer the fifth question 4. Let 1A be the indicator of event A. That is, the random variable 1 A takes the value 1 if

answer the fifth question

4. Let 1A be the indicator of event A. That is, the random variable 1 A takes the value 1 if A occurs and is O if A occurs. (a) What is the support of 1 A? (b) What is the p.m.f. of 1 A? (c) Compute E[ 1 A]. (d) What should the subscript of the indicator r.v. on the r.h.s. of the fol- lowing equation be so that equality holds? 1 A+ 1B - 1AB = 17. You may assume that A and B are events. (e) Take the expected value of each side, and you end up with what familiar equation? 5. Let X be a nonnegative, integer-valued random variable. (a) Simplify K=0 (When X (w) =0, then interpret as 0.) (b) Simplify N

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