Homework Problems: Questions: 1 (a to d)
1. Many
primary care doctors feel overworked and burdened by potential lawsuits. In
fact, a group of researchers reported that 64% 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.
b. Use the researchers' report to estimate p
for the binomial random variable.
c. Consider a random sample of 28 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.
d. For the sample of part c, find the
probability that at least one general practice physician does not recommend
medicine as a career.
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