The auual per capita consumpition of bottled water ws 34.9 gallons . Assume that

Question

The auual per capita consumpition of bottled water ws 34.9 gallons . Assume that the per capita consumption of bottled water is approximately normally distributed wit a nean of 34.9 and a standard deviation of 10 gallons.

A. what is the probability that someone consumed more than 45 gallons of bottled water?

B. what is the probability that someone consumed between 25 and 35 gallons of bottled water?

C.what is the probability that someone consumed less than 25 gallons of bottled water?

D.99% of people consumed less than how many gallons of bottled water

Explanation / Answer

A) Xbar=34.9, s=10, compute Z score for Xi=45.

Z=(Xi-Xbar)/s=(45-34.9)/10=1.01

P(X>450=P(Z>1.01)=0.1562

B) Compute Z scores corresponding to Xi=25 and 35.

Z1=(25-34.9)/10=-0.99 and Z2=(35-34.9)/10=0.01

P(25<X<35)=0.3389+0.0040=0.3429

C) P(X<25)=P(Z<-0.99)=0.1611

D) Z=-2.58, compute Xi

-2.58=(Xi-34.9)/10

Xi=9.1~9 gallons

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