Q:

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.

Accepted Solution

A:
Answer: 0.3929Step-by-step 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 :-[tex]f(x)=\dfrac{1}{7-0}=\dfrac{1}{7}[/tex]The interval of probability distribution of success event = [4.25,7] =[tex]7-4.25=2.75[/tex]Then , the probability that a randomly selected passenger has a waiting time greater than 4.25 minutes is given by :-[tex]\dfrac{2.75}{7}=0.39285714\approx0.3929[/tex]