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Let the random variable X be equal to the number of days

Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Problem 24E Chapter 3.2

Probability and Statistical Inference | 9th Edition

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Probability and Statistical Inference | 9th Edition | ISBN: 9780321923271 | Authors: Robert V. Hogg, Elliot Tanis, Dale Zimmerman

Probability and Statistical Inference | 9th Edition

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Problem 24E

Let the random variable X be equal to the number of days that it takes a high-risk driver to have an accident. Assume that X has an exponential distribution. If P(X < 50) = 0.25, compute P(X > 100 |X > 50).

Step-by-Step Solution:

Answer

Given P(X<50)=0.25

Here we have to compute the value of P(X>100/X>50)

The pmf of exponential distribution is P(x)=,    0x<

 Step 1 of 2</p>

P(X>100/X>50)=

                  =

                  =

                   =

                   =

                   =e(-100+50)/   

                   =e-50/

                              =P(X> 50)

Step 2 of 2

Chapter 3.2, Problem 24E is Solved
Textbook: Probability and Statistical Inference
Edition: 9th
Author: Robert V. Hogg, Elliot Tanis, Dale Zimmerman
ISBN: 9780321923271

Since the solution to 24E from 3.2 chapter was answered, more than 251 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 24E from chapter: 3.2 was answered by Sieva Kozinsky, our top Statistics solution expert on 07/05/17, 04:50AM. This textbook survival guide was created for the textbook: Probability and Statistical Inference , edition: 9th. This full solution covers the following key subjects: accident, assume, compute, days, distribution. This expansive textbook survival guide covers 59 chapters, and 1476 solutions. The answer to “Let the random variable X be equal to the number of days that it takes a high-risk driver to have an accident. Assume that X has an exponential distribution. If P(X < 50) = 0.25, compute P(X > 100 |X > 50).” is broken down into a number of easy to follow steps, and 42 words. Probability and Statistical Inference was written by Sieva Kozinsky and is associated to the ISBN: 9780321923271.

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