Question

The time that customers wait to be served at the delicatessen for a grocery store follows the uniform distribution between 0 and 7 minutes. what is the probability that a randomly selected customer will wait between 1 and 5 minutes at the​ deli?

Answer 1

0.5714 is the probability that a randomly selected customer will wait between 1 and 5 minutes at the​ delicatessen.

Explanation:

We are given the following information in the question:

a = 0, b = 7

Then, the uniform distribution function is given by:

`f(x) = \displaystyle(1)/(b-a) = (1)/(7-0) = (1)/(7)`

a) P( 1 < x < 5)

`=\displaystyle\int_(1)^(5) f(x) dx\\\\=\displaystyle\int_(1)^(5) (1)/(7)dx\\\\=(1)/(7)[x]_(1)^(5) = (1)/(7)(5-1) = 0.5714`

0.5714 is the probability that a randomly selected customer will wait between 1 and 5 minutes at the​ delicatessen.