uppose the number of wildfires in Texas follows a Poisson Distribution where the average number of wildfires per week is 4.2. Meanwhile, the number of wildfires in California follows a Poisson Distribution where the average is 7.6 wildfires per week. One of these states is chosen at random and it is learned that 6 wildfires occurred during a particular week. What is the probability that the state of Texas was chosen? (If needed, round to four decimal places).

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Suppose the number of wildfires in Texas follows a Poisson Distribution where the
average number of wildfires per week is 4.2. Meanwhile, the number of wildfires in California
follows a Poisson Distribution where the average is 7.6 wildfires per week. One of these states
is chosen at random and it is learned that 6 wildfires occurred during a particular week. What
is the probability that the state of Texas was chosen? (If needed, round to four decimal places).

Expert Solution
Step 1

Given:

Average number of wildfires per week in Texas = 4.2

Average number of wildfires per week in California= 7.6

6 wildfires have occurred.

 

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