Question: 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

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

(a) P Xð Þ¼ k :0094

(b) P Xð Þ¼ k :1093

(c) Pð Þ 100 X k ¼ :4778

(d) P k0 ð Þ¼ X k :9660, where k0 and k are equidistant from m

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