APFIVE Expected Value of a Discrete Random Variable
The lifetime of a battery, in years, is a discrete random variable Y with the following probability distribution: P(Y = 3) = 0.25, P(Y = 4) = 0.45, and P(Y = 5) = 0.30. The company offers a warranty to replace any battery that fails before its expected lifetime. What is the expected lifetime, in years, of a battery?
A
4 years
B
4.05 years
C
4.5 years
D
3.05 years
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