The arrival time of an elevator in a 12-story dormitory is equally likely at any

Question

The arrival time of an elevator in a 12-story dormitory is equally likely at any time range during the next 3.9 minutes.

a).Calculate the expected arrival time. (Round your answer to 2 decimal place.)

b).What is the probability that an elevator arrives in less than 2.5 minutes? (Round intermediate calculations to 4 decimal places and final answer to 3 decimal places.)

c.)What is the probability that the wait for an elevator is more than 2.5 minutes? (Round intermediate calculations to 4 decimal places and final answer to 3 decimal places.)

a).Calculate the expected arrival time. (Round your answer to 2 decimal place.)

b).What is the probability that an elevator arrives in less than 2.5 minutes? (Round intermediate calculations to 4 decimal places and final answer to 3 decimal places.)

c.)What is the probability that the wait for an elevator is more than 2.5 minutes? (Round intermediate calculations to 4 decimal places and final answer to 3 decimal places.)

Explanation / Answer

a) we are given the range as 0 - 3.9 minutes , so the expected arrival time is the average of this range

(0 +3.9)/2 = 1.95

b) What is the probability that an elevator arrives in less than 2.5 minutes?

range = 4

so probability is 2.5/3.9 = 25/39 = 0.6410

c) What is the probability that the wait for an elevator is more than 2.5 minutes?

which is 3.9-2.5 = 1.4 , as the range is 3.9

so the probability is

1.4/3.9 = 14/39 = 0.3589

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