Question

A meal delivery company in Waco, claims that the amount of time his drivers are late is uniformly distributed on the interval from 0 to 15 minutes. What is the probability that a randomly selected delivery is more than 10.5 minutes late? Give your answer to 3 decimal places.

Answer 1

We have given the amount of time his drivers are late is uniformly distributed on the interval from 0 to 15 minutes

Consider X be the amount of time his drivers are late.

X Follow uniform distribution (a , b )

So we get

X follow uniform distribution ( 0 , 15 )

so we get

a = 0

and b = 15

We have to find

P ( X > 10.5 )

We use formula

So we get c = 10.5 , a =0 and b = 15

We plug the values in formula

Answer :-

The probability that a randomly selected delivery is more than 10.5 minutes late = 0.300