Exercise 6-9 Algo The arrival time of an elevator in a 12-story dormitory is equ

Question

Exercise 6-9 Algo

The arrival time of an elevator in a 12-story dormitory is equally likely at any time range during the next 5.2 minutes.

What is the probability that an elevator arrives in less than 3 minutes? (Round intermediate calculations to 4 decimal places and final answer to 3 decimal places.)

What is the probability that the wait for an elevator is more than 3 minutes? (Round intermediate calculations to 4 decimal places and final answer to 3 decimal places.)

The arrival time of an elevator in a 12-story dormitory is equally likely at any time range during the next 5.2 minutes.

Explanation / Answer

a) Expected arrival time = (5.2-0)/2 = 2.6 minutes

b) P(elevator arrives in less than 3 minutes) = (3-0)/(5.2-0)

= 0.577

c) P(X > 3) = (5.2-3)/(5.2-0)

= 0.423

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