a) Find the standard deviation. b) What is the percentage of students who have scored less than 72? c) If a random sample of 53 students is selected from the college, what is the probability that the mean of the sample will be greater than 88?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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1000 students applied for college of medicine; if their scores in high school follow a normal
distribution, with a mean equal to 78, if the number of students who have scored more than 80 is
480.
a) Find the standard deviation.
b) What is the percentage of students who have scored less than 72?
c) If a random sample of 53 students is selected from the college, what is the probability that the
mean of the sample will be greater than 88?
Transcribed Image Text:1000 students applied for college of medicine; if their scores in high school follow a normal distribution, with a mean equal to 78, if the number of students who have scored more than 80 is 480. a) Find the standard deviation. b) What is the percentage of students who have scored less than 72? c) If a random sample of 53 students is selected from the college, what is the probability that the mean of the sample will be greater than 88?
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