Question: Given the normally distributed variable X with mean 18 and standard deviation 2.5, find (a) P(X < 15): (b) the value of k such that

Given the normally distributed variable X with mean 18 and standard deviation 2.5, find

(a) P(X < 15):

(b) the value of k such that P(X < k) = 0.2236;

(c) the value of k such that P(X > k) = 0.1814;

(d) P(17 < X < 21).

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