20. Weekly demand for milk at a small grocery store is normally distributed with

Question

20. Weekly demand for milk at a small grocery store is normally distributed with a mean of 375 gallons per week and standard deviation of 46 gallons per week.

a. With 98% probability, the store should expect to sell at least how many gallons of milk per week?

Do not round intermediate calculations. Round UP your answer to the next whole number.

_________ gallons per week

b. With 96% probability, the store should expect to sell no more than how many gallons of milk per week?

Do not round intermediate calculations. Round UP your answer to the next whole number.

__________ gallons per week

c. How many gallons of milk per week should the store stock so that its risk of running short during the week (running out of milk) is limited to 20%?

Do not round intermediate calculations. Round UP your answer to the next whole number.

_______ gallons per week

Explanation / Answer

we are given that mean 375 and standard deviation 46

1. P(Z>=z)=0.98

1-P(Z<z)=0.98

P(Z<z)=1-0.98

P(Z<z)=0.02

P(Z<-2.05)=0.02 ===>>> Use ecel function ''=NORMSINV(0.02)'' for z score

So z=-2.05

x=mean-2.05*standarde deviation

=375-2.05*46

=280.7=281

b. Same way we can find here P(Z<z)=0.96

P(Z<1.76) = 0.96

So z=1.76

x=mean+1.75*standarde deviation

=375+1.75*46

=455.5 = 456

Hope this will b ehelpful. Thanks and God Bless YoU:-)

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