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4 a When Mich takes a free throw in a basketball game, the probability that he scores is always constant at 2 3 Mich takes
4 a When Mich takes a free throw in a basketball game, the probability that he scores is always constant at 2 3 Mich takes nine free throws. Let X be the number of times he scores. i State the distribution that X satisfies, and state the parameters. ii Write down the mean of this distribution. iii Calculate the probability that Mich scores exactly seven times. iv Calculate the probability that he scores four or more times. b When Ken takes a free throw at basketball the probability that he scores is always constant at -. Find the minimum number of 3 free throws that Ken would have to take to be at least 99% certain of scoring at least once
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