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?