Given a normal distribution with = 100 and = 10,

(a) What is the probability that

(1) X > 75?

(2) X < 70?

(3) 75 < X < 85?

(4) X > 112?

(5) X < 80 or X > 110?

(b) 10% of the values are less than which value of X?

(c) 80% of the values are between which two values of X (symmetric around the mean)?

(d) 70% of the values are above which value of X?