Question: 27. Given the normally distributed random variable X with mean 100 and standard deviation 15, find the numerical value of k such that: a. P(X

27. Given the normally distributed random variable X with mean 100 and standard deviation 15, find the numerical value of k such that:

a. P(X < k) = .0094

b. P(X k) = .1093

c. P(100 < X < k) = .4778

d. P(k' < X < k) = .9660, where k' and k are equidistant from

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