Assume that the returns from an asset are normally distributed. The average annual return for this asset over a specific period was 17.1 percent and the standard deviation of those returns in this period was 41.7 percent. a. What is the approximate probability that your money will double in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What about triple in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 6 decimal places, e.g., .161616.) a. Probability of doubling b. Probability of triping 2.33% %

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Assume that the returns from an asset are normally distributed. The average annual
return for this asset over a specific period was 17.1 percent and the standard deviation of
those returns in this period was 41.7 percent.
a. What is the approximate probability that your money will double in value in a single
year? (Do not round intermediate calculations and enter your answer as a percent
rounded to 2 decimal places, e.g., 32.16.)
b. What about triple in value? (Do not round intermediate calculations and enter your
answer as a percent rounded to 6 decimal places, e.g., 161616.)
Probability of doubling
b. Probability of triping
2.33 %
%
Transcribed Image Text:Assume that the returns from an asset are normally distributed. The average annual return for this asset over a specific period was 17.1 percent and the standard deviation of those returns in this period was 41.7 percent. a. What is the approximate probability that your money will double in value in a single year? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What about triple in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 6 decimal places, e.g., 161616.) Probability of doubling b. Probability of triping 2.33 % %
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