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Ricky Rickdickery is a goaltender with the Sackville Sadsacks. Over the past season he faced an...

  1. Ricky Rickdickery is a goaltender with the Sackville Sadsacks. Over the past season he faced an average of 30 shots a game and gave up an average of 4.50 goals a game.

(a) If he faces 25 shots in a game, what is the probability that he gives up 4 or more goals?

(b) If he faces 20 shots in a game, what is the probability that he saved

                        (i)         fewer than 16 of them?

                        (ii)        10 or more, but 15 or fewer?

       (c) In a 50 shot game, what is the mean number of saves Rickdickery makes? What is the standard deviation?

(Hint: use the binomial distribution)

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