An automobile insurer has found that repair claims are Normally distributed with a mean of $630 and a standard deviation of $580.

(a) Find the probability that a single claim, chosen at random, will be less than $610.
ANSWER:

equation editorEquation Editor
(b) Now suppose that the next 100 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯
of the 100 claims is smaller than $610.
ANSWER:

equation editorEquation Editor
(c) If a sample larger than 100 claims is considered, there would be

equation editorEquation Editor chance of getting a sample with an average smaller then $610. (NOTE: Enter ''LESS'', ''MORE'' or ''AN EQUAL'' without the quotes.)