Question

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 5 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 2.25 minutes.

Answer 1

Answer: 0.75

Step-by-step explanation:

Given : Interval for uniform distribution : [0 minute, 5 minutes]

The probability density function will be :-

f(x) = 1/5-0 = 1/5 = 0.2, 0<x<5

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

Hence,  the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes = 0.75

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