Many primary care doctors feel overworked and burdened by potential lawsuits. In

Question

Many primary care doctors feel overworked and burdened by potential lawsuits. In fact, a group of researchers reported that 55% of all general practice physicians do not recommend medicine as a career. Let x represent the number of sampled general practice physicians who do not recommend medicine as a career. Complete parts a through d.

a. Explain why x is approximately a binomial random variable.

A. The experiment consists of n identical, dependent trials, where there are only two possible outcomes, S (for Success) and F (for Failure).

B. The experiment consists of n identical, independent trials, where there are only two possible outcomes, S (for Success) and F (for Failure). The probability of S remains the same from trial to trial. The variable x is the number of S's in n trials.

C. The experiment consists of n identical, dependent trials, with more than two possible outcomes. The probability that an event occurs varies from trial to trial.

D. The experiment consists of n identical, independent trials, where there are only two possible outcomes, S (for Success) and F (for Failure). The probability of S varies from trial to trial. The variable x is the number of F's in n trials.

Explanation / Answer

This is clearly a case of binomial probability. The trials are independent and are characterized by only two possible outcomes.

Answer: B. The experiment consists of n identical, independent trials, where there are only two possible outcomes, S (for Success) and F (for Failure). The probability of S remains the same from trial to trial. The variable x is the number of S's in n trials.

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