Suppose that Y1 and Y2 are independent exponential random variables, each having pdf fY(y) ey , y 0 If Y Y1 Y2, it can be shown that fY1 Y2 (y) 2yey, y 0 Recall Case Study 4 2 4 What is the probability that the next three eruptions of Mauna Loa will be less than forty months apart

Question: Suppose that Y1 and Y2 are independent exponential random variables, each having pdf fY(y) =ey , y > 0. If Y = Y1 + Y2,

Suppose that Y1 and Y2 are independent exponential random variables, each having pdf fY(y) =λe−λy , y > 0. If Y = Y1 + Y2, it can be shown that
fY1 + Y2 (y) =λ2ye−λy, y > 0
Recall Case Study 4.2.4. What is the probability that the next three eruptions of Mauna Loa will be less than forty months apart?

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