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you are out in a thunderstorm. Lightening strike occurs as a Poisson process with rate lambda per hour. Let X, Y, Z be the number

you are out in a thunderstorm. Lightening strike occurs as a Poisson process with rate lambda per hour. Let X, Y, Z be the number of strikes between 9-11, 11-3pm, and 3-7pm respectively.

1) What is the conditional joint PMF of X,Y,Z given that X+Y+Z = 20.

2) What type of distribution is this?

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