A NFL kicker makes 80% of the field goals based on historical data. This season he will attempt 21 field goals. The attempts that he kicks vary widely in distance, angle, wind, field location, and so on.

Explain why this situation meets the conditions of a binomial random variable, addressing ALL FOUR conditions in the context of the problem.

(b) What is the probability that the kicker will make exactly 17 of the 21 attempts? Show your work.

(c) What is the probability that the kicker will make at least 14 of the 21 attempts? Show your work.

(d) If we changed the wording of the question to, "What is the probability that the first successful attempt will be the 3rd kick," explain why this would change the scenario from binomial to geometric. BE SPECIFIC and use math language.