The monthly consumption of gas in a household has a normal distribution with an average of 40 therms and a variance of 1.44 therms squared.

(a) (4 POINTS) What is the probability that in a given month the gas consumption of this household is between 38 and 41 therms?

(b) (4 POINTS) If the cost of gas in August is $ 0.758 perm therm, and households are given back a weather adjustment credit of $ 5 in that month, what is the expected value and the variance of the gas bill in August for the household under consideration?