Find probability that can will contain less gallons


Suppose that in an automatic process of filling oil cans, the content of a can (in gallons) is Y=100+X, where X is a random variable with density f(x)=1-abs(x) when the absolute value of x is less than or equal to 1 and 0 when the absolute value of x is greater than 1. Sketch f(x) and F(x). In a lot of 1000 cans, about how many will contain 100 gallons or more? What is the probability that a can will contain less than 99.5 gallons? Less than 99 gallons?

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Mechanical Engineering: Find probability that can will contain less gallons
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