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i want a solution for this question

The number of goals scored at State College hockey games follows a Poisson distribution with a mean of 3 goals per game. Find the probability that each of four randomly selected State College hockey games resulted in six goals being scored.

i tried this solution but the answer should be 0.00000546

$\text{mean} = m,\qquad P[x] = \frac{e^{-m} m^x}{x!}$ $ m = 3,\qquad P[6] = \frac{e^{-3} 3^6}{6!} ≈ 0.0504$ $n = 4,\qquad p = 0.0504$ $\Pr = 0.0504^4 ≈ 6.4524\times 10^{-6}$

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    If the problem is as you posed it, your solution is correct (aside from the rounding issue). The book is wrong; no matter how sloppy I tried to round, I could not get their result.2012-03-31

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