Suppose that in an automatic process of filling oil into cans, the content of a can (in

Chapter 24, Problem 24.1.90

(choose chapter or problem)

Suppose that in an automatic process of filling oil
into cans, the content of a can (in gallons) is
Y = 50 + X. where X is a random variable with
density fIx) = I - Ixl when Ixl :=; 1 and 0 when
Ixl > I. Graph fIx) and F(x). In a lot of 100 cans, about
how many will contain 50 gallons or more'? What is
the probability that a can will contain less than 49.5
gallons? Less than 49 gallons?

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