# using-the-binomial-probability-tables-or-excel-what-is-the-probability-of

# Week 3 Assignment

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:

- At least 6 will be accepted?
- Exactly 10 will be accepted?
- Exactly 5 will be rejected?
- Fifteen or more will be accepted?
- Determine the expected number of acceptances.
- 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.

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