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

An automobile insurer has found that repair claims are Normally distributed with a mean of $580 and a standard deviation of $530.

(a) Find the probability that a single claim, chosen at random, will be less than $560.
ANSWER:

(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 $560.
ANSWER:

(c) If a sample larger than 100 claims is considered, there would be chance of getting a sample with an average smaller then $560. (NOTE: Enter ''LESS'', ''MORE'' or ''AN EQUAL'' without the quotes.)

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