# 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 - |x| when |x| 1 and 0 when |x| > 1. Sketch f(x) and F(x). In a lot of 1000 cans, about how many will

Chapter 24, PROBLEM SET 24.5 #13

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 - |x| when |x| ≤ 1 and 0 when |x| > 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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