Empirical research on stock market data indicates that over the course of a year, 50% of stocks go up. A random sample of 400 stocks is going to be chosen at the beginning of next year. Let ^p be the proportion of stocks in the sample that go up over the course of a year.  a.) find ^p b.) find the standard deviation of ^p c.) compute an approximation for P(^p<0.48), which is the probability that fewer than 48% of the stocks in the sample go up over the course of the year. Round your answer to four decimal places.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
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Empirical research on stock market data indicates that over the course of a year, 50% of stocks go up. A random sample of 400 stocks is going to be chosen at the beginning of next year. Let ^p be the proportion of stocks in the sample that go up over the course of a year. 

a.) find ^p

b.) find the standard deviation of ^p

c.) compute an approximation for P(^p<0.48), which is the probability that fewer than 48% of the stocks in the sample go up over the course of the year. Round your answer to four decimal places. 

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