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3.Linus Ullmark of the Boston Bruins had the best save percentage of any 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 for the 2023-2024 season, a fellow Bruin will make n=20 shots on Ullmark. HINT: Make sure you use the right p in the problems below. a) What is the probability that Ullmark will miss saving (and hence allow) at most 4 of the shots on goal? (2 marks) p =0.062 (success here is allowing a goal) b) What is the probability that he will save (stop) no more than 17 of the shots on goal? (3 marks) p = 0.938 (success is stopping a goal) c) What is the probability that Ullmark will miss stopping (i.e. allow) at least 2 of the shots on goal and no more than 4 of the shots on goal? (3 marks)

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