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The times until two light bulbs burn out are modeled as independent exponentially distributed random variables...

The times until two light bulbs burn out are modeled as independent exponentially distributed random
variables Ta and Tb with parameters Alpha_a and Alpha_b respectively. Show that the time until the first of the
two bulbs burns out T is again exponential with parameter Alpha_a + Alpha_b.

Math   Statistics-And-Probability   
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