Given a normal distribution with

mu

equals40

and

sigma = 6,

find (a) the normal curve area to the right of x equals 21;

(b) the normal curve area to the left of

x equals 32;

(c) the normal curve area between

x equals 47 and x equals 50;

(d) the value of x that has

80% of the normal curve area to the left; and (e) the two values of x that contain the middle 70% of the normal curve area.