During the 2020 regular season, an NFL football kicker has converted 80% of all field goal kick attempts. A converted kick means that the kicker successfully kicked the football between the goal posts, so as to score three points. Assuming that this conversion rate continues to apply to the upcoming playoff games, use (and show) the appropriate formula used to compute the following probabilities. Show ALL work and use your calculator to compute all the probabilities below. Assume the result for each field goal attempt is independent of each other

Problem 7a. Probability of converting at least 50% of the next six field goal attempts in the playoffs. Show all work.

Problem 7b. Probability of converting at most three of the next five field goal attempts in the playoffs. Show all work.

Problem 7c Probability of not converting more than 2 of the next 4 field goal attempts ?