Given a normal distribution with = 30 and = 6, find (a) the normal curve area to the right of x = 17;

Given a normal distribution with μ = 30 and

σ = 6, find

(a) the normal curve area to the right of x = 17;

(b) the normal curve area to the left of x = 22;

(c) the normal curve area between x = 32 and x = 41;

(d) the value of x that has 80% of the normal curve area to the left;

(e) the two values of x that contain the middle 75% of the normal curve area.