The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes. find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.

0.5625

Step-by-step explanation:

Given : The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.

The density function for uniform distribution :-

The required interval : (3.25,8)=8-3.5=4.5

The  probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is given by :-

Hence, the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes

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