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A total of 28 percent of American males smoke cigarettes,

A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross ISBN: 9780321794772 63

Solution for problem 11P Chapter 2

A First Course in Probability | 9th Edition

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A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross

A First Course in Probability | 9th Edition

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Problem 11P

Problem 11P

A total of 28 percent of American males smoke cigarettes, 7 percent smoke cigars, and 5 percent smoke both cigars and cigarettes.

(a) What percentage of males smokes neither cigars .nor cigarettes?

(b) What percentage smokes cigars but not cigarettes?

Step-by-Step Solution:

Solution :

Step 1 of 2:

Let S be the event that a randomly chosen American made smoke cigarettes and E be the event that a randomly chosen American male smoke cigarettes.

From the given information

P(E) =

P(E) = 0.28

P(S) =

P(S) = 0.07

Then the P(AS) is

P(ES) =

P(ES) = 0.05

Our goal is:

a). We need to find percentage of males smokes neither cigars .nor cigarettes.

b). We need to find percentage smokes cigars but not cigarettes.

 

a). The probability that a randomly chosen American male smokes neither cigars nor cigarettes.

P() =

P() = 1-P(SE)

P() = 1-P(S)-P(E)+P()

P() = 1-0.07-0.28+0.05

P() = 0.7

Here 0.7100 = 70%.

Therefore, 70 percentage of males smokes neither cigars .nor cigarettes.


 

Step 2 of 2

Chapter 2, Problem 11P is Solved
Textbook: A First Course in Probability
Edition: 9
Author: Sheldon Ross
ISBN: 9780321794772

This textbook survival guide was created for the textbook: A First Course in Probability , edition: 9. A First Course in Probability was written by and is associated to the ISBN: 9780321794772. The answer to “A total of 28 percent of American males smoke cigarettes, 7 percent smoke cigars, and 5 percent smoke both cigars and cigarettes.(a) What percentage of males smokes neither cigars .nor cigarettes?________________(b) What percentage smokes cigars but not cigarettes?” is broken down into a number of easy to follow steps, and 38 words. This full solution covers the following key subjects: cigars, cigarettes, smoke, smokes, males. This expansive textbook survival guide covers 4 chapters, and 469 solutions. The full step-by-step solution to problem: 11P from chapter: 2 was answered by , our top Statistics solution expert on 08/11/17, 08:57AM. Since the solution to 11P from 2 chapter was answered, more than 353 students have viewed the full step-by-step answer.

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A total of 28 percent of American males smoke cigarettes,