The annual per capita consumption of fresh bananas (in pounds) in the United Sta

Question

The annual per capita consumption of fresh bananas (in pounds) in the United States can be approximiated by the normal distribution, with a mean of 8.9 pounds and a standard deviation of 3 pounds

Answer the following questions about the specified normal distribution.

(a) What is the smallest annual per capita consumption of bananas that can be in the top 5% of consumptions? (Round to on decimal place as needed)

(b) What is the largest annual per capita consumption of bananas that can be in the bottom 10% of consumption? (Round to one decimal place as needed)

Explanation / Answer

a)for top 5% lie at 95 percentile for which z=1.64485

hence corresponding value =mean +z*std deviation=13.8346

b)for bottom 10%. z=-1.28155

hence corresponding value =mean +z*std deviation=5.0553

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