6.2.7-T Question Help The annual per capita consumption of bottled water was 33.

Question

6.2.7-T Question Help The annual per capita consumption of bottled water was 33.5 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 33.5 and a standard deviation of 10 gallons. a. What is the probability that someone consumed more than 44 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, 90% of people consumed less than how many gallons of bottled water?

Explanation / Answer

We have been given params of normal distribution:

a.

Mean = 33.5

Stdev = 10

a, P(X>44) = P(Z> (44-33.5)/10 ) = .1469

b. P(25<X<35) = .5596-.1977 = 0.3619

c. P(X<25) = .1977

d. The 90% ' Z value is 1.28

1.28 = (c-33.5)/10

c = 1.28*10 + 33.5 = 46.3

So, 90% of people consumed less than 46.3 gallons

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