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Mathematics, 10.03.2020 08:12 mathiscool51

A manufacturing company has developed a fuel-efficient machine that combines pressure washing with steam cleaning. It is designed to deliver 7.0 gallons of cleaner per minute at 1,000 pounds per square inch of pressure washing. In fact, it delivers an amount at random anywhere between 5.5 and 8.5 gallons per minute. Assume that the RV X, the amount of cleaner delivered, is an uniform RV with probability density f(x) = 1/2 for 6.5 < x < 8.5. What is the probability that more than 7.3 gallons of cleaner are dispensed per minute?

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