Using the Chebyshev\'s inequality equation, answer the following questions: A. A

Question

Using the Chebyshev's inequality equation, answer the following questions: A. A class of students has mean of 5 feet and 6 inches with standard deviation of 2 inches. At least what percent of the class must be between 5' and 6'? B. Bacteria in a culture is alive for an average of 3 hours with standard deviation of 15 minutes. At least what percent of the bacteria is alive between two and four hours? C. What is the smallest number of standard deviation from the mean to ensure that we have at least 75 percent of the data of a distribution?

Explanation / Answer

A)as 5 and 6 3 std deviation from mean ; hence (1-1/k2)*100=(1-1/9)*100=88.89% of the class must be b/w 5 and 6'

B)as they lie 4 std deviation away from mean ; hence (!-1/42)*100 =93.75% fall b/w 2 and 4 hours

C)for 0.75 =1-1/k2

k=2 std deviation away from mean

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