Question

Suppose that over a certain period, the percent change in the daily adjusted close of the...

Suppose that over a certain period, the percent change in the daily adjusted close of the S&P500 can be approximately modeled as a normal random variable with mean 0.04% and standard deviation 0.92%.

a) What is the probability that on a randomly selected day the change is between -1.3% and +1.7%?

b) On how many of 100 randomly selected days in this period would a change above +2.0% would be expected?

c) What is the 85th percentile of this variable?

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