SOLUTION: Given that x has a poisson distribution with (mean) u=6, what is the probability that x=0

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Question 697879: Given that x has a poisson distribution with (mean) u=6, what is the probability that x=0
Answer by Positive_EV(69) About Me  (Show Source):
You can put this solution on YOUR website!
The probability mass function of the Poisson distribution is P%28X+=+x%29+=+e%5E%28-u%29%2A%28%28u%5Ex%29%2Fx%21%29. To find P(X = 0), plug in u = 6 and 0 = x into the probability mass function:

P%28X+=+0%29+=+e%5E%28-6%29%2A%28%286%5E0%29%2F0%21%29
P%28X+=+0%29+=+e%5E%28-6%29%2A%281%2F1%29
P%28X+=+0%29+=+e%5E%28-6%29+=+.00248