Let X be a normally distributed random variable with mean µ = −2 and standard deviation σ = 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