6. Linus Ullmark of the Boston Bruins had the best save percentage of a goalie in the 2022-2023 season. We take this to mean, loosely, that Ullmark has a 93.8% chance

of making a save when a puck is shot at his goal. In a practice in the 2023-2024 season, a fellow Bruin makes 20 shots on Ullmark. a) What is the probability that Ullmark will make saves on more than 18 shots on goal? (4 marks) b) What is the probability that he will miss stopping (allow) at least 2 of the shots on goal? (4 marks) c) How many shots on goal do you expect Ullmark to stop? (2 marks) STAT 151 d) Obtain the standard deviation of the number of shots on goal that Ullmark will stop. (2 marks)