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Determine the probabilities, assuming that the population data is normally distributed for the average loan amount...

Determine the probabilities, assuming that the population data is normally distributed for the average loan amount issued by a small short-term lender is $1080 with a standard deviation of $184.

a) The probability of the lender issues more than $1150 to a random borrower?

b) The probability of the lender issues at most $1150, on average, to a random sample of 30 borrowers?

c) The probability that the lender issues between $1150 and $1175, on average, to a random sample of 30 borrowers?

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