Let the random variable X follow a normal distribution with = 30 and 2 =

Let the random variable X follow a normal distribution with μ = 30 and σ² = 81.
a. Find the probability that X is greater than 40.
b. Find the probability that X is greater than 15 and less than 43.
c. Find the probability that X is less than 35.
d. The probability is 0.3 that X is greater than what number?
e. The probability is 0.05 that X is in the symmetric interval about the mean between which two numbers?