x1 and x2 are exponentially distributed with parameter lamda1 and lamda2. Y = min{x1 and x2}...

Question

Question

x1 and x2 are exponentially distributed with parameter lamda1 and lamda2.

Y = min{x1 and x2}

Find the distribution of Y given x1<x2

math Statistics-And-Probability

Answer 1

Answer #1

As x1<x2, it means min {x1,x2 } = x1

So the distribution of y will be same as that of x1 with parameter lambda 1

Answer 2

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