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In Exercises , refer to the table in the margin. The

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 6RE Chapter 5.5

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 6RE

Problem 6RE

In Exercises , refer to the table in the margin. The random variable x is the number of males with tinnitus (ringing ears) among four randomly selected males (based on data from “Prevalence and Characteristics of Tinnitus among US Adults” by Shargorodsky et al,American Journal of Medicine, Vol. 123, No. 8).

Tinnitus Find the mean and standard deviation for the random variable x. Use the range rule of thumb to identify the range of usual values for the number of males with tinnitus among four randomly selected males. Is it unusual to get three males with tinnitus among four randomly selected males?

Step-by-Step Solution:
Step 1 of 3

Problem 6RE

Answer:

Step1 of 1:

We have n = 4

S = {male, female}

Probability of getting male P(male) =  = = 0.5

Similarly, Probability of getting female P(female) =  = = 0.5

Hence, p = 0.5.

Consider a random variable “x” follows binomial distribution with sample size “n” and proportion “p”.

i,e.X B(n, p)

Where,

n = 16 and p = 0.10.

q = 1 - p

   = 1 - 0.10

   = 0.90.

Probability mass function of binomial distribution is given by

P(x) = , x = 0,1,2,...,n.

x

P(x)

xP(x)

P(x)

0

0.645

0

0.091673

1

0.280

0.28

0.108676

2

0.044

0.088

0.115902

3

0.003

0.009

0.02064

4

0.000

0

0

= 0.377

= 0.336891

 

Therefore, mean of the binomial distribution is given by  

                                                                                               = 0.377.

Standard deviation of the binomial distribution is given by

                                                                                                   = 0.337.

Step 2 of 3

Chapter 5.5, Problem 6RE is Solved
Step 3 of 3

Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

The full step-by-step solution to problem: 6RE from chapter: 5.5 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. The answer to “In Exercises , refer to the table in the margin. The random variable x is the number of males with tinnitus (ringing ears) among four randomly selected males (based on data from “Prevalence and Characteristics of Tinnitus among US Adults” by Shargorodsky et al,American Journal of Medicine, Vol. 123, No. 8).Tinnitus Find the mean and standard deviation for the random variable x. Use the range rule of thumb to identify the range of usual values for the number of males with tinnitus among four randomly selected males. Is it unusual to get three males with tinnitus among four randomly selected males?” is broken down into a number of easy to follow steps, and 101 words. Elementary Statistics was written by and is associated to the ISBN: 9780321836960. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Since the solution to 6RE from 5.5 chapter was answered, more than 454 students have viewed the full step-by-step answer. This full solution covers the following key subjects: males, tinnitus, among, Randomly, selected. This expansive textbook survival guide covers 121 chapters, and 3629 solutions.

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In Exercises , refer to the table in the margin. The