SOLUTION: Given that x has a Poisson distribution with muμequals=7​, what is the probability that xequals=66? ​P(6​)almost equals≈nothing ​(Round to four

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Question 1037804: Given that x has a Poisson distribution with muμequals=7​, what is the probability that xequals=66?
​P(6​)almost equals≈nothing ​(Round to four decimal places as​ needed.)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
p%28X+=+x%29+=+%28mu%5Ex%2Fx%21%29e%5E%28-mu%29=+%287%5Ex%2Fx%21%29e%5E%28-7%29 is the pmf for the Poisson r.v. X.
==> p%28X+=+6%29+=+%287%5E6%2F6%21%29e%5E%28-7%29+=+0.1490, to four significant figures.