×
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 4.8 - Problem 121e
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 4.8 - Problem 121e

×

# The time between arrivals of taxis at a busy intersection

ISBN: 9781118539712 55

## Solution for problem 121E Chapter 4.8

Applied Statistics and Probability for Engineers | 6th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Applied Statistics and Probability for Engineers | 6th Edition

4 5 1 300 Reviews
26
3
Problem 121E

Problem 121E

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes.

(a) What is the probability that you wait longer than one hour for a taxi?

(b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 10 minutes?

(c) Determine x such that the probability that you wait more than x minutes is 0.10.

(d) Determine x such that the probability that you wait less than x minutes is 0.90.

(e) Determine x such that the probability that you wait less than x minutes is 0.50.

Step-by-Step Solution:

Solution

Step 1 of 5

Let X be the time between the arrivals of taxi

Here X is exponential random variable with mean of 10 min

Then

a) We have to find the probability that you wait longer than one hour for taxi

Here one hour=60 minutes

The cumulative density function of exponential distribution is

We have to find

=

=

=0.0025

Hence the probability that you wait longer than one hour for taxi is 0.0025

Step 2 of 5

Step 3 of 5

##### ISBN: 9781118539712

This full solution covers the following key subjects: Probability, minutes, wait, determine, such. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. Since the solution to 121E from 4.8 chapter was answered, more than 2462 students have viewed the full step-by-step answer. The answer to “The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes.(a) What is the probability that you wait longer than one hour for a taxi?(b) Suppose that you have already been waiting for one hour for a taxi. What is the probability that one arrives within the next 10 minutes?(c) Determine x such that the probability that you wait more than x minutes is 0.10.(d) Determine x such that the probability that you wait less than x minutes is 0.90.(e) Determine x such that the probability that you wait less than x minutes is 0.50.” is broken down into a number of easy to follow steps, and 103 words. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712. The full step-by-step solution to problem: 121E from chapter: 4.8 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM.

#### Related chapters

Unlock Textbook Solution