2. Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 8. (a) [10 points] What is the probability that a randomly selected exam will have a score of at least 71? (Round to four decimal places) (b) [10 points] What percentage of exams will have scores between 89 and 92? (Round to four decimal places) W (c) [10 points] If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award? (Do not round)

Transcribed image text: 2. Scores on a recent national statisties exam were normally distributed with a mean of 80 and a standard deviation of 8 . (a) [10 points] What is the probability that a randomly selected exam will have a score of at least 71? (Round to four decimal places) (b) [10 points] What percentage of exams will have scores between 89 and 92 ? (Round to four decimal places) (c) [10 points] If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award? (Do not round)