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Problem: Suppose you loan a friend $100 at 10% interest. If the loan is repaid, you get $110 (the principal of $100 plus interest of $10), but there is a risk of 1% that your friend will default and you will get nothing at all. Thus the amount you are repaid is a random variable.
Required:
Question 1: Write down the probability distribution of your repayment.
Question 2: Compute the expected value of your repayment or the "mean repayment".
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