An automobile insurer has found that repair claims are Normally distributed with a mean of $940 and a standard deviation of $900. (A)Find the probability that a single claim, chosen at random, will be less than $890 (B)Now suppose that the next 90 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯of the 90 claims is smaller than $890.

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An automobile insurer has found that repair claims are Normally distributed with a mean of $940 and a standard deviation of $900.

(A)Find the probability that a single claim, chosen at random, will be less than $890

(B)Now suppose that the next 90 claims can be regarded as a random sample from the long-run claims process. Find the probability that the average x¯of the 90 claims is smaller than $890.

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