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Two turtles are racing. Turtle A's time is exponentially distributed with a mean of two minutes....

Two turtles are racing. Turtle A's time is exponentially distributed with a mean of two minutes. Turtle B's time is exponentially distributed with a mean of 3 minutes. Assume that their times are independent.

A. What is the the variance of the winner?

B.What is the pdf of the time difference between the loser and the winner (by how much faster does the turtle win?)

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