the annual per capita consumption of bottled water was 34.9 gallons. assume that

Question

the annual per capita consumption of bottled water was 34.9 gallons. assume that the pre capita consumption of bohhled water is appronximately distributed with a mean of 34.9 and a standard of 10 gallons.

A. what is the probability that somone consumed more than 45 gallons of bottles water?

B what is the probability that someone consumed more than between 25 and 35 gallons of bottles water? C what is the probability that someone consumed less than 25 gallons of bottled water?

D 99% of people comsumed less than how many gallons of bottled water?

Explanation / Answer

From information given, Xbar=34.9, s=10

A) Compute Z score corresponding to Xi=45.

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

P(X>45)=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) The Z score is -2.58 (corresponding to 99% of people consuming less than Xi), compute Xi.

-2.58=(Xi-34.9)/10

Xi=9.1~9

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