Question

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes.

Answer 1

Answer: 0.3929

Explanation:

Given : The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes.

The probability density function :-

`f(x)=(1)/(7-0)=(1)/(7)`

The interval of probability distribution of success event = [4.25,7] =
`7-4.25=2.75`

Then , the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is given by :-

`(2.75)/(7)=0.39285714\approx0.3929`