A kicker for a football team has the opportunity to kick a field goal 5 times during one particular game. His team gets 3 points if he kicks the ball between the goal posts and 0 points if he misses. This kicker has a history of making 80% of his filed goal attempts.
a. The two major criteria for a binomial probability experiment are independence and two possible outcomes. Explain how this experiment meets these two criteria.
b. What is the value of :
i. n?
ii. p?
iii. q?
c. What is the probability that he makes exactly 3 of his next 5 field goal attempts?
d. What is the probability that he makes 3 or less field goals in his next 5 attempts?
(You may use the table) (4 points)