# Solved: Determine the cumulative distribution function for ## Problem 39E Chapter 3.3

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(X 1.25).

b). P(X 2.2).

c). P(-1.1< X 1).

d). P(X >0).

a). Now we have to find P(X 1.25).

P(X 1.25) = 0.9

Therefore, P(X 1.25) = 0.9.

Step 2 of 4:

b). Now we have to find P(X 2.2).

P(X 2.2) = 1

Therefore, P(X 2.2) = 1.

Step 3 of 4

Step 4 of 4

##### 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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