Say that a simple random sample of size 15 will be drawn from a population comprised of N members, exactly 30% of whom own a car. Provide answers to the following to three decimal places. (a) Computing directly using the definition of a probability sample, and presuming that the population size is N = 160, what is the chance that at most one of those sampled owns a car? (b) And if instead the population size is N =2*160, what is the chance that at most one of those sampled owns a car?
Say that a simple random sample of size 15 will be drawn from a population comprised of N members, exactly 30% of whom own a car. Provide answers to the following to three decimal places. (a) Computing directly using the definition of a probability sample, and presuming that the population size is N = 160, what is the chance that at most one of those sampled owns a car? (b) And if instead the population size is N =2*160, what is the chance that at most one of those sampled owns a car?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Transcribed Image Text:Say that a simple random sample of size 15 will be drawn from a population comprised of N members,
exactly 30% of whom own a car. Provide answers to the following to three decimal places.
(a) Computing directly using the definition of a probability sample, and presuming that the population size
is N = 160, what is the chance that at most one of those sampled owns a car?
(b) And if instead the population size is N =2*160, what is the chance that at most one of those sampled
owns a car?
NOTE: It is worth comparing your answers to (a) and (b). Is the size of the population playing an important
role in the chance of getting a very non-representative sample?
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