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5 October, 19:38

The daily water consumption for an Ohio community is normally distributed with a mean consumption of 850,125 gallons and a standard deviation of 64,190 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 934,672 gallons. What is the probability of experiencing such a drop in water pressure?

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  1. 5 October, 23:05
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    The formula for a z score is

    z = (x - µ) / σ

    z = (984,000 - 750,000) / 80,000 = 2.925

    Hence,

    p (x > 984,000) = p (z > 2.925) = 1 - p (z ≤ 2.925)

    = 1 - 0.9983 = 0.0017
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