The number of tornadoes T and earthquakes E over a months time in a particular region is

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The number of tornadoes T and earthquakes E over a month’s time in a particular region is independent and has a Poisson distribution with parameters four and two, respectively.
(a) Find the joint pmf of T and E.
(b) What is the probability of no tornadoes and no earthquakes in that region next month?
(c) What is the probability of at least two tornadoes and at least two earthquakes?
(d) What is the probability of at least two tornadoes or at most two earthquakes?

Distribution
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