 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2004/paper-1/5/b/iv/solution

The conditioning event selects the exponential component:

P (Y \geq 0) = 1/2

and

P (Y \geq 1) = e^{- 1} /2

P (Y \geq 1 ∣ Y \geq 0) = \frac{e ^{- 1} /2}{1/2} = e^{- 1} .

The atom at

- 1

is excluded by the conditioning event.

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