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Suppose that the mean of the annual return for common stocks from 2000 to 2012 was 14.37%, and the standard deviation of the annual return was 35.14%. Suppose also that during the same 12-year time span, the mean of the annual return for long-term government bonds was 0.6%, and the standard deviation was 2.1%. The distributions of annual returns for both common stocks and long-term government bonds are bell-shaped and approximately symmetric in this scenario. Assume that these distributions are distributed as normal random variables with the means and standard deviations given previously.
Find the probability that the return for common stocks will be greater than 16.32%.
Find the probability that the return for common stocks will be greater than 5.89%.
Find the probability that the return for common stocks will be less than 14.37%.
To sketch the 3-sigma X-bar chart and R-chart parameters. A candy bar manufacturer desires to set up a variables control chart for the net weight of its candy bars.
Determine the distributions given below represent a probability distribution. Justify your answer.
Given that we have collected pairs of observations on two variables X and Y , we would consider fitting a straight line with X as an explanatory variable if:
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