Probability 04

Exercise 0.1

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Exercise 0.2

Exercise 0.3

Suppose that a narrow-beam flashlight is spun around its center, which is located a unit distance from the X-axis. Consider the point X at which the beam intersects the X-axis when the flashlight has stopped spinning. (If the beam is not pointing toward the x-axis, repeat the experiment.)

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Exercise 0.4

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Exercise 0.5

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Exercise 0.6

Suppose that we have two independent Poisson processes, with rate and with rate . We construct from them a new process in which an occurrence in means that we have an occurrence in or an occurrence in

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Exercise 0.7

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Exercise 0.8