Question

The amount of time it takes Robby to go grocery shopping is continuous and uniformly distributed between 20 minutes and 45 minutes. What is the probability that it takes Robby between 29 and 39 minutes to go grocery shopping? Give your answer as a decimal.

Answer 1

0.4

Step-by-step explanation:

This problem has been solved using the method of integration.

We are required to solve for the probability that it takes Robby between 29 and 39 minutes to go grocery shopping

= X~U(20,45)

= 1/45-20

= 1/25

Then we get computation for p[29<x<39]

When we take the integrals with x = 1/25

We get

Probability that it takes Robby between 29 and 39 minutes to go shopping to be 0.4