Week 3 business statistics assignment

Question 1

Fifty-five 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. Exactly 6 will be accepted?
2. At least 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.- Make sure you have looked at page 245.

Question 2

Scores on a recent national statistics exam were normally distributed with a mean of 82 and a standard deviation of 4.

1. What is the probability that a randomly selected exam will have a score of at least 87?
2. What percentage of exams will have scores between 80 and 85?
3. If the top 3% of test scores receive merit awards, what is the lowest score eligible for an award?