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3. (2 pts.) A bank finds that the one-day increase in the dollar value of its foreign exchange portfolio is normally distributed with a
3. (2 pts.) A bank finds that the one-day increase in the dollar value of its foreign exchange portfolio is normally distributed with a mean of $1.5 million and a standard deviation of $9.7 million. (A negative increase is a loss.) (a) Find the value x such that the probability that the portfolio will lose more than x dollars in one day is 5%. (b) For the x you found in part (a), what is the probability that the portfolio will increase in value by more than x dollars in one day?
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