Question 11 statistics

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. O A. 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. O B. The experiment consists of n identical, dependent trials, where there are only two possible outcomes, S (for Success) and F (for Failure). O C. 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. O D. 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. b. Use the researchers' report to estimate p for the binomial random variable. p =(Type an integer or a decimal.) 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. H=(Round to two decimal places as needed.) G =(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 2 1) = (Round to three decimal places as needed.)