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Textbook Solutions for Basic Statistics for Business and Economics

Chapter 6 Problem 41E

Question

Problem 41E

A federal study reported that 7.5 percent of the U.S. workforce has a drug problem. A drug enforcement official for the State of Indiana wished to investigate this statement. In her sample of 20 employed workers:

a. How many would you expect to have a drug problem? What is the standard deviation?

b. What is the likelihood that none of the workers sampled has a drug problem?

c. What is the likelihood at least one has a drug problem?

Solution

Solution 41E

Step1 of 4:

Let us consider a random variable ‘X’ it presents the U.S. workforce has a drug problem. Also, we have ‘n = 20 and ’.

Here our goal is:

a). We need to find the expected number of a drug problem. Also, the standard deviation.

b). We need to find the likelihood that none of the workers sampled has a drug problem.

c). We need to find the likelihood at least one has a drug problem.


Step2 of 4:

a).

We know that ‘x’ follows a binomial distribution with parameters ‘n = 20 and ’. Then, the probability mass function of the binomial distribution is:

                       

The mean of the binomial distribution is:

 

             

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full solution

Title Basic Statistics for Business and Economics  7 
Author Douglas Lind; William Marchal; Samuel Wathen
ISBN 9780077384470

A federal study reported that 7.5 percent of the U.S.

Chapter 6 textbook questions

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