According to a report by Scarborough Research, the average monthly household cellular phone bill is $73. Suppose local monthly household cell phone bills are normally distributed with a standard deviation of $11.35.

a. What is the probability that a randomly selected monthly cell phone bill is more than $100?

b. What is the probability that a randomly selected monthly cell phone bill is between $60 and $83?

c. What is the probability that a randomly selected monthly cell phone bill is between $80 and $90?

d. What is the probability that a randomly selected monthly cell phone bill is no more than $55?