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Normal distribution and a mean

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The scores on a statistics final examination follow a normal distribution and have a mean of 72 and a standard deviation of 3.5. Answer the following:

a. What is the probability that a randomly selected exam will have a score that is greater than 74?

b. What is the probability that a randomly selected exam will have a score that is less than 71?

c. What is the probability that a randomly selected exam will have a score between 70.5 and 73?

d. What is the probability that a randomly selected exam will have a score of exactly 69?

e. What score would represent the 80th percentile?

f. What does the 80th percentile represent?

Reference no: EM131877331

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