Find the indicated quantities given that X is a normal random variable with a mean of 30 and a standard deviation of 1.5. (Round your answers to 4 decimal places.)
(a) Find the value of b such that P(X ? b) = 0.8944
(c) Find the values of A and B such that P(A ? X ? B)= 0.8764 if A and B are symmetric about the mean.