Question

The monthly utility bills in a city are normally distributed, with a mean of $100 and a standard deviation of $14. Find the probability that a randomly selected utility bill is (a) less than $65, (b) between $87 and $100, and (c) more than $110. 

(a) The probability that a randomly selected utility bill is less than $65 is _______ (Round to four decimal places as needed.) 

Use the normal distribution to the right to answer the questions. 

(a) What percent of the scores are less than 19? 

(b) Out of 1500 randomly selected scores, about how many would be expected to be greater than 21? 

Answer 1

5.2.11. Here distribution is normal with mean=100 and standard deviation=14

a. We need to find

As distribution is normal we can convert x to z

b.

c.