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For an adult male the average weight is 179 pounds and the standard deviation is 29.4 pounds. We can assume that the distribution is Normal

For an adult male the average weight is 179 pounds and the standard deviation is 29.4 pounds. We can assume that the distribution is Normal (Gaussian). Answer the following questions either via simulations (use 10000 points) or via "rule of thumbs".

I). What is the approximate probability that a randomly picked adult male will weigh more than 200 pounds? Pick the closest answer. (6.66 points)

a. About 4%

b. About 14%

c. About 24%

d. About 34%

II) What would be the range [A to B], which would contain about 95% of adult males? Pick the closest answer. (6.66 points)

a. Between 149.6 and 208.4 pounds

b. Between 155.5 and 211.4 pounds

c. Between 120.2 and 237.8 pounds

d. Between 130.1 and 233.2 pounds

III) A random adult male is chosen, which of these outcomes is the most likely? (6.66 points)

a. The person will weigh more than 210 pounds

b. The person will weigh more than 215 pounds

c. The person will weigh less than 150 pounds

d. The person will weigh between 170 and 200 pounds

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