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In a certain city, the daily use of water (in hundreds of gallons) per household is a continuous random variable with probability density function f(x)

In a certain city, the daily use of water (in hundreds of gallons) per household is a continuous random variable with probability density function

f(x) = 0.15e- 0.15x(if x > 0, otherwise f(x) = 0).

Find the probability (to the nearest percent) that a household chosen at random will use at most 200 gallons of water per day.

1) 74%

2) 26%

3) 95%

4) None of these

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