Many primary care doctors feel overworked and burdened by potential lawsuits. In​ fact, a group of researchers reported that 57​% 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. b. Use the​ researchers' report to estimate p for the binomial random variable.   p=nothing ​(Type an integer or a​ decimal.)   c. Consider a random sample of 24 general practice physicians. Use p from part b to find the mean and standard deviation of​ x, the number who do not recommend medicine as a career.   μ=nothing ​(Round to two decimal places as​ needed.)   σ=nothing ​(Round to three decimal places as​ needed.)

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Many primary care doctors feel overworked and burdened by potential lawsuits. In​ fact, a group of researchers reported that
57​%
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.
b. Use the​ researchers' report to estimate p for the binomial random variable.
 
p=nothing
​(Type an integer or a​ decimal.)
 
c. Consider a random sample of
24
general practice physicians. Use p from part b to find the mean and standard deviation of​ x, the number who do not recommend medicine as a career.
 
μ=nothing
​(Round to two decimal places as​ needed.)
 
σ=nothing
​(Round to three decimal places as​ needed.)
 
d. For the sample of part
c​,
find the probability that at least one general practice physician does not recommend medicine as a career.
 
​P(x≥​1)=nothing
​(Round to three decimal places as​ needed.)
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