A manufacturing company has developed a fuel-efficient machine that combines pressure washing with steam cleaning. It is designed to deliver 7 gallons of cleaner per minute at 1,000 pounds per square inch for pressure washing. In fact, it delivers an amount at random anywhere between 6.5 and 7.5 gallons per minute. Assume that Y, the amount of cleaner delivered, is a uniform random variable with probability density

a. Find the mean and standard deviation of Y. Then graph f(y), showing the locations of the mean and 1 and 2 standard deviation intervals around the mean.

b. Find the probability that more than 7.2 gallons of cleaner are dispensed per minute.

Transcribed Image Text:

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