Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of...

Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 6.

1. What is the probability that a randomly selected exam will have a score of at least 71?
2. What percentage of exams will have scores between 89 and 92?
3. If the top 2.5% of test scores receive merit awards, what is the lowest score eligible for an award?