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Over the last five years a bank has issued 250 loans on cars. Of those, 85 were for cars worth less than $10,000 and 42 of those borrowers defaulted; 112 were for cars worth between $10,000 and $30,000, and 37 of those borrowers defaulted; of the remaining 53 loans for cars worth over $30,000 there were 25 defaults. Construct a tab two-way le for this situation and hence, or otherwise, find the probability that
(a) a borrower defaulted on a car loan of unknown value
(b) a borrower for a car worth less than $10,000 did not default
(c) a defaulted car loan was for a car worth over $30,000.
(d) What is the probability that the next two borrowers both default (on car loans of unknown value).
Hubbard argues that the Fed can control the Fed funds rate, but the interest rate that is important for the economy is a longer-term real rate of interest. How much control does the Fed have over this longer real rate?
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