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 scored exactly seven goals in
Each of two randomly selected games.
A)0.88091927
B)0.00000145
C)0.11908073
D)0.00354505

Question

Quizplus · Accepted Answer

The probability of scoring exactly seven goals in a game, when the mean number of goals is 4, can be calculated using the Poisson distribution formula: P(X=k) = (λ^k * e^(-λ)) / k!, where λ is the mean number of goals (4 in this case), k is the number of goals for which we want to find the probability (7 in this case), and e is the base of the natural logarithm (approximately 2.71828). Plugging in the values, we get P(X=7) for one game. To find the probability of this happening in each of two randomly selected games, we square the probability for one game, since the games are independent.

The Number of Goals Scored at Each Game by a Certain