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Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 3.3 - Problem 38e
Get Full Access to Applied Statistics And Probability For Engineers - 6 Edition - Chapter 3.3 - Problem 38e

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# Determine the cumulative distribution function of the ISBN: 9781118539712 55

## Solution for problem 38E Chapter 3.3

Applied Statistics and Probability for Engineers | 6th Edition

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Problem 38E

Problem 38E

Determine the cumulative distribution function of the random variable in Exercise 3-16.

3-16.The sample space of a random experiment is {a, b, c, d,

e, f}, and each outcome is equally likely. A random variable is

defined as follows:

 outcome a b c d e f x 0 0 1.5 1.5 2 3

Determine the probability mass function of a. Use the probability mass function to determine the following probabilities: Step-by-Step Solution:

Solution :

Step 1 of 1:

From the given information the sample space of a random experiment is {a, b, c, d, e, f}.

Then the table is given below.

 outcome a b c d e f x 0 0 1.5 1.5 2 3

Our goal is:

We need to determine the cumulative distribution function.

From the given information is the number of 0’s is 2.

Then the total number of variables is 6.

So P(x=0) is

P(x=0) = P(x=0) = 0.333

Therefore, P(x=0) = 0.333.

The number of 1.5 is 2 and the total number of variables is 6.

P(x=1.5) = P(x=1.5) = 0.333

Therefore, P(x=1.5) = 0.333.

The number of 2 is 1 and the total number of variables is 6.

P(x=2) = P(x=2) = 0.167

Therefore, P(x=2) = 0.167.

The number of 3 is 1 and the total number of variables is 6.

P(x=2) = P(x=2) = 0.167

Therefore, P(x=2) = 0.167.

From the available information, each outcome is equally likely.

Then the cumulative distribution function is

 x 0 1.5 2 3 P(X) = f(x) 0.333 0.333 0.167 0.167 F(x) 0.333 (0.333+0.333)= 0.666 (0.666+0.167)= 0.833 (0.833+0.167)=1

Then, F(x) is Step 2 of 1

##### ISBN: 9781118539712

Since the solution to 38E from 3.3 chapter was answered, more than 432 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Applied Statistics and Probability for Engineers , edition: 6. The full step-by-step solution to problem: 38E from chapter: 3.3 was answered by , our top Statistics solution expert on 07/28/17, 07:57AM. The answer to “Determine the cumulative distribution function of the random variable in Exercise 3-16.3-16.The sample space of a random experiment is {a, b, c, d,e, f}, and each outcome is equally likely. A random variable isdefined as follows:outcomeab cdefx001.51.523Determine the probability mass function of a. Use the probability mass function to determine the following probabilities:” is broken down into a number of easy to follow steps, and 53 words. Applied Statistics and Probability for Engineers was written by and is associated to the ISBN: 9781118539712. This full solution covers the following key subjects: function, random, determine, Probability, outcome. This expansive textbook survival guide covers 97 chapters, and 2005 solutions.

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