Question 1. Seventy percent of the students applying to a university are accepted. Using the binomial probability tables or Excel, what is the probability that among the next 18 applicants:

1.At least 6 will be accepted?

2.Exactly 10 will be accepted?

3.Exactly 5 will be rejected?

4.Fifteen or more will be accepted?

5.Determine the expected number of acceptances.

6.Compute the standard deviation.

Question 2. 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?