John works in a tax preparation office. Each tax return that he has to complete takes a random amount of time (measured in hours) distributed uniformly on the interval 1, 3], and the times for different tax returns are independent. If he finishes four tax returns before the end of his eight-hour workday, he can go home early. What is the probability that he finishes four tax returns within eight hours?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question

Hello! I need help with following probability problem. Thank you in advance..!

 

John works in a tax preparation office. Each tax return that he has to
complete takes a random amount of time (measured in hours)
distributed uniformly on the interval 1, 3, and the times for different tax
returns are independent. If he finishes four tax returns before the end of
his eight-hour workday, he can go home early. What is the probability
that he finishes four tax returns within eight hours?
Transcribed Image Text:John works in a tax preparation office. Each tax return that he has to complete takes a random amount of time (measured in hours) distributed uniformly on the interval 1, 3, and the times for different tax returns are independent. If he finishes four tax returns before the end of his eight-hour workday, he can go home early. What is the probability that he finishes four tax returns within eight hours?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON