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.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

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

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

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.

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.

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

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

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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