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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