SOLUTION: Assume the Poisson distribution applies. Use the given mean to find the indicated probability. Find ​P(6​) when muμequals=5.

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Question 1037802: Assume the Poisson distribution applies. Use the given mean to find the indicated probability.
Find ​P(6​) when muμequals=5.
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=+%285%5Ex%2Fx%21%29e%5E%28-5%29 is the pmf for the Poisson r.v. X.
==> p%28X+=+6%29+=+%285%5E6%2F6%21%29e%5E%28-5%29+=+0.1462, to four significant figures.