For a particular group of people the average height is 70 inches and the standard deviation...

For a particular group of people the average height is 70 inches and the standard deviation is 3.6 inches. 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 person from this group will be shorter than 70 inches? Pick the closest answer. (6.66 points)

a. About 20%
b. About 30%
c. About 50%
d. About 60%

II) What would be the range [A to B], which would contain about 68% of persons? Pick the closest answer. (6.66 points)

a. Between 66.4 and 73.6 inches
b. Between 62.8 and 77.2 inches
c. Between 59.2 and 80.8 inches
d. None of these are close to correct answer

III) A random person from this group is chosen, which of these outcomes is the least likely? (6.66 points)

a. The person will be taller than 80 inches
b. The person will be shorter than 62 inches
c. The person will be taller than 59.2 inches
d. The person will be between 65 and 70 inches tall

Expert Solution

orchestra answered 2 years ago

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