Scores on a recent national statistics exam were normallydistributed with a mean of 80 and a standard deviation of 6.a) What is the probability that a randomly selected examwill have a score of at least 71?b) What percentage of exams will have scores between 89and 92?c) If the top 2.5% of test scores receive merit awards,what is the lowest score eligible for an award?d) If there were 334 exams with scores of at least 89,how many students took the exam?