Find the probability: money

Question

The monthly utility bills in a city are normally​ distributed, with a mean of ​$100 and a standard deviation of ​$16.

Find the probability that a randomly selected utility bill is​ (a) less than ​$70​, ​(b) between ​$83 and ​$90​, and​ (c) more than ​$120.

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

​(b) The probability that a randomly selected utility bill is between ​$83 and ​$90 is _______?

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

Answer 1

(a) The probability that a randomly selected utility bill is less than ​$70 is _0.030396______.

​(b) The probability that a randomly selected utility bill is between ​$83 and ​$90 is _0.12198______.

​(c) The probability that a randomly selected utility bill is more than ​$120 is _0.1056______.