a federal study reported that 7.5% 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-1. how many would you expect to have a drug problem? (round your answer to 1 decimal place.) a-2. what is the standard deviation? (round your answer to 4 decimal places.) b. what is the likelihood that none of the workers sampled has a drug problem? (round your answer to 4 decimal places.) c. what is the likelihood at least one has a drug problem? (round your answer to 4 decimal places.)

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15-12-2022
Mathematics

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a federal study reported that 7.5% 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-1. how many would you expect to have a drug problem? (round your answer to 1 decimal place.) a-2. what is the standard deviation? (round your answer to 4 decimal places.) b. what is the likelihood that none of the workers sampled has a drug problem? (round your answer to 4 decimal places.) c. what is the likelihood at least one has a drug problem? (round your answer to 4 decimal places.)

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okpalawalter8 okpalawalter8 · Answer 1 · 2022-12-20T00:10:02+01:00

A federal study reported that 7.5% of the u.s. workforce has a drug problem

a-1. You would expect 1.5 of the 20 employed workers in the sample to have a drug problem.

a-2. The standard deviation for this problem would be 1.1180.

b. The likelihood that none of the workers sampled has a drug problem is 0.3679.

c. The likelihood that at least one of the workers sampled has a drug problem is 1 - 0.3679 = 0.6321.

What is a drug problem?

Using drugs may result in dependency and addiction, as well as physical and mental health concerns, difficulties sleeping, and other negative outcomes. Your usage of drugs has an effect not just on you but also on the people around you.

a-1. It is reasonable to anticipate that 1.5 of the 20 employed people in the sample will have a problem with drugs.

a-2: The value of 1.1180 would be used to represent the standard deviation for this situation.

a. The probability that any of the employees who were surveyed struggle with substance abuse is 0.3679.

c. The probability that at least one of the employees who have sampled struggles with substance abuse is 1 less than 0.3679, which equals 0.6321.