Toronto Hydro hired a researcher to investigate the monthly household electricity bills.

According to his research, the average monthly household electricity bill is $125.00.

Suppose the monthly household electricity bills are normally distributed with a standard deviation of $11.35.

a) What is the probability that a randomly selected monthly household electricity bill is as high as $135.50 and as low as $95.00?

b) Solve this part independently. Suppose that the monthly household electricity bill of another geographical location is normally distributed with a standard deviation of $12.45. If 73.56% of the monthly household electricity bills are greater than $99.00, what is the mean of the monthly household electricity bills?

c) Solve this part independently. The Toronto Hydro's monthly commercial electricity bill is uniformly distributed and lies between $1300 and $1525. What is the probability that the monthly commercial electricity bill is more than $1325.

d) Solve this part independently. Suppose the height of uniform distribution iscalculated at 1/4 and P (X > 4) = 1/2. What is the range of this distribution?