Needs to be done today help

Question

The average monthly mortgage payment including principal and interest is $982 in the United States. If the standard deviation is approximately $180 and the mortgage payments are approximately normally distributed, find the probability that a randomly selected monthly payment is the following. State your answer indecimalform.

A. more than $1000

B. more than $1475

C. between $800 and $1150

Answer 1

Use the normal cdf (available in graphing calculators).

Or you could also try this link:

http://onlinestatbook.com/2/calculators/normal_dist.html

Just input:

mean=982

sd=180

Then select the needed probabilities.

a. P(X>1000) =

Select "Above" then type in 1000.

Then hit "calculate". You should get 0.4062.

Use the link for b and c to obtain 0.0031 and 0.6687