The number of goals scored at each game by a certain hockey team follows a Poisson distribution with a mean of 5 goals per game. Find the probability that the team scored exactly three goals in each of four randomly selected games.
A) 0.43850439
B) 0.00038828
C) 0.56149561
D) 0.00540243

Question

Quizplus · Accepted Answer

The probability of scoring exactly three goals in one game is given by the Poisson probability formula: P(X=k) = (λ^k * e^(-λ)) / k!. For λ=5 and k=3, this probability is approximately 0.1403739. The probability of this happening in four independent games is (0.1403739)^4, which is approximately 0.00038828.

The Number of Goals Scored at Each Game by a Certain