Devry University, Keller Graduate School Of Management
MATH 533
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MATH 533 Week 2 Homework Problems (GRADED A+) Questions and Answer solutions | 100% Verified
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MATH 533
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Devry University, Keller Graduate School Of Management
1. Question: Many primary care doctors feel overworked and burdened by potential lawsuits. In fact, a group of researchers reported that 6464% of all general practice physicians do not recommend medic ine as a career. Let x represent the number of sampled general practice physicians who do not reco...
math 533 week 2 homework problems graded a questions and answer solutions | 100 verified
12 question 450 physicians’ opinions on a career in medicine many primary care doctors feel overworked
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Devry University, Keller Graduate School Of Management
MATH 533
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MATH 533 Week 2 Homework Problems
1. Many primary care doctors feel overworked and burdened by potential lawsuits. In fact, a
group of researchers reported that 6464% 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 binomial random variable is identified by several characteristics. The experiment consists of n
identical trials. There are only two possible outcomes on each trial. Denote one outcome by S
(for Success) and the other by F (for Failure). The probability of S remains the same from trial to
trial. This probability is denoted by p, and the probability of F is denoted by q. Note that q
equals=1−p. The trials are independent. The binomial random variable x is the number of S's in
n trials.
Does x satisfy all the characteristics of a binomial random variable?
Yes
Your answer is correct.
No
b. Use the researchers' report to estimate p for the binomial random variable.
P = 0.64
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.
The mean of a binomial random variable is given by the equation below.
μ=np
= (28) (0.64) = 17.92
The standard deviation of a binomial random variable is given by the equation below.
Q=0
.36
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