Question: Consider Example 3.12 which refers to a miner trapped in a mine. Let N denote the total number of doors selected before the miner reaches

Consider Example 3.12 which refers to a miner trapped in a mine. Let N denote the total number of doors selected before the miner reaches safety. Also, let 7; denote the travel time corresponding to the ith choice, i 1.

Again let X denote the time when the miner reaches safety.

(a) Give an identity that relates X to N and the T.

(b) What is E[N]?

(c) What is E[T]?

(d) What is E[TIN=n]?

(e) Using the preceding, what is E[X]?

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