Question: a) Let X be a random variable has a normal distribution with = 20 and 2 = 100. Find (1) P(21 < x <38).

a) Let X be a random variable has a normal distribution with = 20 and 2 = 100. Find (1) P(21 < x 43). b) Let Z be a random variable that has a standard normal distribution. (1) Find the area under the curve that lies to the right of Z = 1.65, 2) Find the value of k, where P(z > k) = 0.166

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