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(8 points) It is known that a certain lacrosse goalie will successfully make a save 70% of the time. (Assume that all save attempts are

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(8 points) It is known that a certain lacrosse goalie will successfully make a save 70% of the time. (Assume that all save attempts are independent.) Suppose that the lacrosse goalie attempts to make 13 saves. (Round answers to three decimal places.) (a) What is the probability that the lacrosse goalie will make at least 11 saves? (b) What is the probability that the lacrosse goalie will make between 10 and 13 saves (inclusive)? Let X be the random variable which denotes the number of saves that are made by the lacrosse goalie. Find the expected value and standard deviation of the random variable. (c) E(X) = (d) o =

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