Question #242707

What is the probability that someone consumed less than 20 gallons of bottled​ water?


1
Expert's answer
2021-09-27T18:14:12-0400

The annual per capita consumption of bottled water was 31.9 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 31.9 and a standard deviation of 10 gallons.

What is the probability that someone consumed less than 20 gallons of bottled​ water?


P(x<20)=P(xμσ<2031.910)=P(z<1.19)=0.1170P(x<20)=P( \frac{x–μ}{\sigma} ​< \frac{20–31.9}{10} ​)=P(z<−1.19)=0.1170


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