Question 179247
a) According to Chebyshev's theorem, at least )56%,75%,84%,89% which one)of the relative increases on stock price lie within 2.5 standard deviations of the mean, 0.88% 
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[1 - (1/2.5^2)] = [1 - 1/6.25] = [1-1/(25/4)]=1-(4/25)= 21/25=84%
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b)Suppose that the distribution is bell-shaped. If approximatly 68% of the relative increases in stock price lie between 0.71% and 1.05%, then the approximate value of the standard deviation for the distribution, according to the empirical rule is__ 
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68% covers an interval from one sigma to the left and one sigma1 to the right of the mean,i.e. 2 sigmas.
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2 sigma = (1.05 - 0.71)
sigma = 0.34/2 = 0.17
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Cheers,
Stan H.