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# A die (six faces) has the number 1 painted on three of its ISBN: 9780073401331 38

## Solution for problem 2E Chapter 2.1

Statistics for Engineers and Scientists | 4th Edition

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Problem 2E

A die (six faces) has the number 1 painted on three of its faces, the number 2 painted on two of its faces, and the number 3 painted on one face. Assume that each face is equally likely to come up.

a. Find a sample space for this experiment.

b. Find P (odd number).

c. If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the sample space? Explain.

d. If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the value of P(odd number)? Explain.

Step-by-Step Solution:
Step 1 of 3

Solution 2E

Step1 of 3:

We have A six faces Die and it has the number 1 painted on three of its faces.

The number 2 painted on two of its faces and the number 3 painted on one face.

We need to find,

a).Find a sample space for this experiment.

b).Find P (odd number).

c).If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the sample space? Explain.

d).If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the value of P(odd number)? Explain.

Step2 of 3:

a).

Let us Assume that each face is equally likely to come up.

Number 1 = 3 faces

Number 2 = 2 faces

Number 3 = 1 faces

The sample space for this experiment is S = {number1, number2, number3}

S = {1, 2, 3}.

b).

The probability that the odd numbers is given by

P(odd numbers) = P(1) + P(3)

= + = = = ...

Step 2 of 3

Step 3 of 3

##### ISBN: 9780073401331

This full solution covers the following key subjects: faces, were, face, likely, die. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 2E from chapter: 2.1 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The answer to “A die (six faces) has the number 1 painted on three of its faces, the number 2 painted on two of its faces, and the number 3 painted on one face. Assume that each face is equally likely to come up.a. Find a sample space for this experiment.________________b. Find P (odd number).________________c. If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the sample space? Explain.________________d. If the die were loaded so that the face with the 3 on it were twice as likely to come up as each of the other five faces, would this change the value of P(odd number)? Explain.” is broken down into a number of easy to follow steps, and 124 words. Since the solution to 2E from 2.1 chapter was answered, more than 1324 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331.

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