You arrive at a bus stop to wait for a bus that comes by once every 30 minutes. You don't know what time the last bus came by. The time x that you wait before the bus arrives is uniformly distributed on the interval from 0 to 30 minutes. (Round your answers to four decimal places.) (a) What is the probability that you will have to wait longer than 22 minutes? (b) What is the probability that you will have to wait less than 8 minutes? (c) What is the probability that you will wait between 10 and 18 minutes?

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

I need help with all parts of this question 11

You arrive at a bus stop to wait for a bus that comes by once every 30 minutes. You don't know what time the last bus came by. The time \( x \) that you wait before the bus arrives is uniformly distributed on the interval from 0 to 30 minutes. (Round your answers to four decimal places.)

(a) What is the probability that you will have to wait longer than 22 minutes?
[Text Box]

(b) What is the probability that you will have to wait less than 8 minutes?
[Text Box]

(c) What is the probability that you will wait between 10 and 18 minutes?
[Text Box]
Transcribed Image Text:You arrive at a bus stop to wait for a bus that comes by once every 30 minutes. You don't know what time the last bus came by. The time \( x \) that you wait before the bus arrives is uniformly distributed on the interval from 0 to 30 minutes. (Round your answers to four decimal places.) (a) What is the probability that you will have to wait longer than 22 minutes? [Text Box] (b) What is the probability that you will have to wait less than 8 minutes? [Text Box] (c) What is the probability that you will wait between 10 and 18 minutes? [Text Box]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 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