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The average price of 500 stocks including the S&P 500 index is $151 and the standard deviation is $15. Assuming that the stock prices of

The average price of 500 stocks including the S&P 500 index is $151 and the standard deviation is $15. Assuming that the stock prices of these 500 stocks are normally distributed, find how many stocks' prices are
(a) between $120 and $155
(b) more than $185

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