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Scores on a recent national statistics exam were normallydistributed with a mean of 80 and a standard deviation of 6.
µ = 80; σ = 6
a. What is the probabilitythat a randomly selected exam will have a score of at least71?
b. What percentage of exams will have scoresbetween 89 and 92?
c. If the top 2.5% of test scoresreceive merit awards, what is the lowest score eligible for anaward?
d. If there were 334 exams with scores of atleast 89, how many students took the exam?
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