his Question: 1 pt 20 of 20 (9 complete) The annual per capita consumption of fr

Question

his Question: 1 pt 20 of 20 (9 complete) 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 108 pounds and a standard deviation of 1 pound. 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 10% of consumption? (b) what is the largest annual per capita consumption of bananas that can be in the bottom 5% of consumption Click to view page 1 ot the Standard Normal Table. a) The smallest annual per ca tita consumption of bananas that can be in the top 10% of consumptions is pounds. SAT Round to one decimal place as needed.) (b) The largest annual per capita consumption of bananas tat can be in the bottom 5% of consumptions is 11 pounds Round to one decimal place as needed.) for a wer boxes

Explanation / Answer

Ans:

Given that

mean=10.8

standard deviation=1

a)For top 10%:

P(Z>z)=0.1

P(Z<=z)=1-0.1=0.9

z=normsinv(0.9)=1.282

x=10.8+1.282*1=12.1

b)For bottom 5% :

P(Z<=z)=0.05

z=normsinv(0.05)=-1.645

x=10.8-1.645*1=9.2

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