Keith is an athletic trainer at Delia University and he is invited to send his athletes to attend a nationwide competition. He needs to make decisions based on the chances of winning the competition, previous records showing they have an 80% chance of winning. He selected 10 of his best athletes to justify it. He decided that if 6 or more athletes indicate that they will win then he and his team will attend the competition. If not, he will reject the invite.

a. Find the probability that Keith is bringing his athletes to attend the competition.

b. Suppose the winning chance for Keith’s athletes is 70%. What is the probability he will still attend the competition?

c. Based on your findings in parts a and

b, justify why Keith should or should not attend the nationwide competition.