The monthly utility bills in a city are normallydistributed, with a mean of $100 and a standard deviation of $15. Find the probability that a randomly selected utility bill is(a) less than $70, (b) between $90 and $110, and(c) more than $120.

(a) The probability that a randomly selected utility bill is less than $70 is

nothing

.

(Round to four decimal places asneeded.)

(b) The probability that a randomly selected utility bill is between $90 and $110 is

nothing

.

(Round to four decimal places asneeded.)

(c) The probability that a randomly selected utility bill is more than $120 is

nothing

.

(Round to four decimal places asneeded.)