Question

The daily water consumption for an Ohio community is normally distributed with a mean consumption of 519,645 gallons and a standard deviation of 71,564 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 782,238 gallons. What is the probability of experiencing such a drop in water pressure

Answer 1

0.0001

Explanation:

The computation of the probability of experiencing such a drop in water pressure is shown below:

Given that

mean = 519,645 gallons

Standard deviation = 71,564 gallons

Now the probability is

= 1 - p (x - mean ÷ standard deviation < 782,238 - 519,645 ÷ 71,564)

= 1 - p(z<3.67)

= 1 - 0.9999

= 0.0001