## The arrival time of an elevator in a 12-story dormitory is equally likely at any time range during the next 4.6 minutes. a. Calculate the ex

Question

The arrival time of an elevator in a 12-story dormitory is equally likely at any time range during the next 4.6 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 3.5 minutes? (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.) c. What is the probability that the wait for an elevator is more than 3.5 minutes? (Round intermediate calculations to at least 4

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2021-10-14T13:47:58+00:00
2021-10-14T13:47:58+00:00 1 Answer
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## Answers ( )

Answer:a. 2.30 minutes

b. 0.761

c. 0.239

Step-by-step explanation:Since this is a uniform distribution, the probability distribution function for any given time between 0 and 4.6 minutes is:

a.The expected arrival time is the average waiting time, at an uniform distribution, the average is:b. The probability for X ≤ 3.5 is:c. The probability for X ≥ 3.5 is: