X is normally distributed with mean 12 and standard deviation 4

  1. X is normally distributed with mean 12 and standard deviation 4.

(a) (5 points)Find the probability that X will be more than 10.

(b) (5 points) Find the probability that X will be less than 13.5

(c) (6 points) Find the probability that X will be between 10 and 14.5

(d) (7 points) Find a such that P(X<a)=.85

(e)(7 points) Find b such that P(X> b)=.25