1) Sixty-five percent of men consider themselves knowledgeable football fans. If 10 men are randomly selected, find the probability that::

a) exactly 8 of them will consider themselves knowledgeable ________

Solution: Letbe the random number of people who consider themselves knowledgeable. Sohas a binomial distribution, with parametersand.

We are looking for:

(To do this calculation, we used BINOMDIST (8, 10, 075, false) in Excel)

b) at least 8 of them will consider themselves knowledgeable ___________

Solution: Againhas a binomial distribution, with parametersand.

We are looking for:

(To do this calculation, we used 1-BINOMDIST (7, 10, 0.75, true) in Excel)

c) at most 8 of them will consider themselves knowledgeable ____________

Solution: Now we are looking for:

(Here we use part b) and also we use BINOMDIST (8, 10, 0.75, false) to compute. Also we could find directly the probability we are looking for by using BINOMDIST (8, 10, 0.75, true).)