Question

The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 9 minutes. Find the probability that a randomly selected passenger has a waiting time less than 3.75 minutes.

Answer 1

_{from the given data of information}

_{the waiting times between a subway departure schedule and the arrival}

_{uniformly departured between 0 and 9}

let X is a random variable which shows the waiting time

f(X) = 1/9-0

= 1/9,0 X 9

so the probability that passenger has waiting the less than 3.75 min is

p(X<3.75) = f(X)d(x)

=1/91.d(x)

= 3.75 - 0 /9

=0.417

the probability that the passengers has waiting time less than 3.75min is 0.417