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Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman
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assume all variables are binomial. (Note: If

Chapter 5, Problem 13E

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QUESTION:

Assume all variables are binomial. (Note: If values are not found in Table B of Appendix C, use the binomial formula.)

R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a college education is important to succeed in the business world. If a random sample of 5 Americans is selected, find these probabilities.

a. Exactly 2 people will agree with that statement.

b. At most 3 people will agree with that statement.

c. At least 2 people will agree with that statement.

d. Fewer than 3 people will agree with that statement

Source: 100% American by Daniel Evans Weiss.

Questions & Answers

QUESTION:

Assume all variables are binomial. (Note: If values are not found in Table B of Appendix C, use the binomial formula.)

R. H. Bruskin Associates Market Research found that 40% of Americans do not think that having a college education is important to succeed in the business world. If a random sample of 5 Americans is selected, find these probabilities.

a. Exactly 2 people will agree with that statement.

b. At most 3 people will agree with that statement.

c. At least 2 people will agree with that statement.

d. Fewer than 3 people will agree with that statement

Source: 100% American by Daniel Evans Weiss.

ANSWER:

Step 1 of 5

From the given problem, we have 

n = 5,  p = 40% = 0.4

We have to assume all variables are binomial. 

Then, the pmf of the binomial distribution is

\(P(X=x)=\left(\begin{array}{c} n \\ x \end{array}\right) p^{x}(1-p)^{n-x} ; x=0,1,2, \ldots\)

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