2. It is reported that 54% of college students take on debt to pay for their education. a) Suppose a random sample of 200 college students is asked if they have taken on debt to pay for their education. Describe the sampling distribution of the proportion of college students who have taken on debt to pay for their education. b) What is the probability that in a random sample of 200 college students less than 50% have taken on debt to pay for their education? c) What is the probability that in a random sample of 200 college students between 50% and 60% have taken on debt to pay for their education?

A First Course in Probability (10th Edition)
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2. It is reported that 54% of college students take on debt to pay for their education.
a) Suppose a random sample of 200 college students is asked if they have taken on debt to
pay for their education. Describe the sampling distribution of the proportion of college
students who have taken on debt to pay for their education.
b) What is the probability that in a random sample of 200 college students less than 50%,
have taken on debt to pay for their education?
c) What is the probability that in a random sample of 200 college students between 50% and
60% have taken on debt to pay for their education?
Transcribed Image Text:2. It is reported that 54% of college students take on debt to pay for their education. a) Suppose a random sample of 200 college students is asked if they have taken on debt to pay for their education. Describe the sampling distribution of the proportion of college students who have taken on debt to pay for their education. b) What is the probability that in a random sample of 200 college students less than 50%, have taken on debt to pay for their education? c) What is the probability that in a random sample of 200 college students between 50% and 60% have taken on debt to pay for their education?
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