Question: Let X be a normally distributed random variable with mean = 2 and standard deviation = 3.2. You will need to use a Z-score table

Let X be a normally distributed random variable with mean = 2 and standard deviation = 3.2. You will need to use a Z-score table or your calculator for this problem.

(a) What is the probability that X 1?

(b) What is the probability that 0 X 1?

(c) Find a symmetric interval about the mean so that you can be 97% sure that X lies in that interval. In other words, find a so that p(2 a X 2 + a) = .97

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