Let the random variable X follow a normal distribution with =70 and 2=49.

a.

Find the probability that X is greater than 70.

b.

Find the probability that X is greater than 50 and less than 75.

c.

Find the probability that X is less than 65.

d.

The probability is 0.3 that X is greater than whatnumber?

e.

The probability is 0.07 that X is in the symmetric interval about the mean between which twonumbers?