Solved: Determine the cumulative distribution function for

Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Problem 39E Chapter 3.3

Applied Statistics and Probability for Engineers | 6th Edition

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Applied Statistics and Probability for Engineers | 6th Edition | ISBN: 9781118539712 | Authors: Douglas C. Montgomery, George C. Runger

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 39E

Determine the cumulative distribution function for the random variable in Exercise 3-17; also determine the following probabilities:

Step-by-Step Solution:

Step 1 of 4:

The table is given below.

x

-2

-1

0

1

2

f(x)

0.2

0.4

0.1

0.2

0.1

Then the cumulative distribution function for the given data:

x

f(x)

F(x)

-2

0.2

0.2

-1

0.4

0.2+0.4 = 0.6

0

0.1

0.6+0.1 = 0.7

1

0.2

0.7+0.2 = 0.9

2

0.1

0.9+0.1 = 1.0

The resultant cumulative distribution function for the given data is

Our goal is:

We need to determine the cumulative distribution function.

a). P(X1.25).

b). P(X2.2).

c). P(-1.1< X1).

d). P(X >0).

a). Now we have to find P(X1.25).

P(X1.25) = 0.9

Therefore, P(X1.25) = 0.9.

Step 2 of 4:

b). Now we have to find P(X2.2).

P(X2.2) = 1

Therefore, P(X2.2) = 1.

Step 3 of 4

Chapter 3.3, Problem 39E is Solved
Step 4 of 4

Textbook: Applied Statistics and Probability for Engineers
Edition: 6th
Author: Douglas C. Montgomery, George C. Runger
ISBN: 9781118539712

This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6th. The answer to “Determine the cumulative distribution function for the random variable in Exercise 3-17; also determine the following probabilities:” is broken down into a number of easy to follow steps, and 17 words. Since the solution to 39E from 3.3 chapter was answered, more than 363 students have viewed the full step-by-step answer. This full solution covers the following key subjects: determine, exercise, also, distribution, cumulative. This expansive textbook survival guide covers 97 chapters, and 2005 solutions. The full step-by-step solution to problem: 39E from chapter: 3.3 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712.

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