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Chapter 5: Q. 90. (page 334)

Get rid of the penny Harris Interactive reported that 29% of all U.S. adults favor abolishing the penny. Assuming that responses from different individuals are independent, what is the probability of randomly selecting 3 U.S. adults who all say that they favor abolishing the penny?

Short Answer

Expert verified

The required probability is0.0244

Step by step solution

01

Given information

Given that,

Probability of success (p)=29%=0.29

Number of trials(n)=3

02

Calculation

The probability of a binomial distribution can be calculated using the following formula:

P(X=r)=Crn×pr×(1-p)n-rP

The probability of selecting adults who are in favor of abolishing the penny at random is calculated as follows:

P(X=r)=Crn×pr×(1-p)r =C33×(0.29)3×(1-0.29)3-3 =0.0244

Therefore, the required probability is0.0244

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