Empirical research on stock market data for two consecutive trading days indicates that50% of the stocks that went up on the first day also went up on the second day. Yesterday,400 stocks went up.

Answer the following.

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(a)Find the mean ofp, wherep gives theproportion of the400stocks that went up yesterday that will go up today.

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(b)Find the standard deviation ofp.

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(c)Compute an approximation forP(p >0.53), which is the probability that more than53%

of the stocks that went up yesterday will go up again today. Round your answer to four decimal places.