The number of goals scored at each game by a certain hockey team follows a Poisson distribution with a mean of 4 goals per game. Find the probability that the team will score more than three goals during a game.
A) 0.566530
B) 0.433470
C) 0.761897
D) 0.238103

Question

Quizplus · Accepted Answer

The probability of scoring more than three goals is 1 minus the probability of scoring three or fewer goals. Using the Poisson distribution formula, P(X > 3) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)), which equals approximately 0.566530.

The Number of Goals Scored at Each Game by a Certain