Question

Water use in the summer is normally distributed with a mean of 300 million gallons per day and a standard deviation of 50 million gallons per day. City reservoirs have a combined storage capacity of 350 million gallons. If, P(X>x)=0.84 => P(Z<b) = a, what is the value of a? Here b would be standardized value from x. Please report your answer in 2 decimal places.

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