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If you start at 74,000 gallons and must have at least 20,000 gallons after 11 weeks, than you cannot afford to lose more than x = (74,000 - 20,000)/11 gallons per week.
If we wanted to know the chance of losing more than x gallons a week, we would use 1-norm.cdf(x; mu, sigma).
But instead, we want to know the value such that 1-norm.cdf(x;mu, sigma) < 0.05.
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The Central Limit Theorem #6
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If you start at 74,000 gallons and must have at least 20,000 gallons after 11 weeks, than you cannot afford to lose more than x = (74,000 - 20,000)/11 gallons per week.
If we wanted to know the chance of losing more than x gallons a week, we would use 1-norm.cdf(x; mu, sigma).
But instead, we want to know the value such that 1-norm.cdf(x;mu, sigma) < 0.05.