Unless stated otherwise in the exercise, use software to find the exact Poisson.

Question 5.45

5.45 EPL goals.

Refer to Example 5.20 (pages 271272) in which we found that the total number of goals scored in a game is well modeled by the Poisson distribution. Compute the following probabilities without the aid of software.

  1. What is the probability that a game will end in a 0–0 tie?
  2. What is the probability that three or more goals are scored in a game?

5.45

(a) 0.0628. (b) 0.5229.