The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 00 and 77 minutes. find the probability that a randomly selected passenger has a waiting time greater than greater than 3.253.25 minutes.

0.5357

Step-by-step explanation:

If a continuous random variable x is distributed uniformly in interval [a,b] , then the probability density function is given by :-

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

Probability density function=

Now, the probability that a randomly selected passenger has a waiting time greater than greater than 3.253.25 minutes :-

Hence, the required probability = 0.5357

good luck on your studies! : )

david edward.