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The monthly utility bills in a small town are normally distributed, witha mean of $250 and a standard deviation of $20. A utility bill is

The monthly utility bills in a small town are normally distributed, witha mean of $250 and a standard deviation of $20. A utility bill is randomlyselected.

a.Find the probability that the utility bill is greater than $280.

b.Find the probability that the utility bill is between $250 and $280.

Round your answers to four decimal places.

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