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Given the normally distributed variable X with mean 16 and standard deviation 2.5, find: (a) P(X<10);...

Given the normally distributed variable X with mean 16 and standard deviation 2.5, find:

(a) P(X<10);

(b) the value of k such that P(X<k)=0.2578;

(c) the value of k such that P(X>k)=0.2877;

(d) P(12<X<18)

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