QUESTION 3 Suppose there are two football teams A and B. In recent matches Team A has a mean of 1 goal per match and Team B has a mean of 2 goals per match. Suppose that the probability of the number of goals scored by a team obeys a Poisson Distribution In the following questions, give the reasoning behind your answers. You can express some answers in terms of logarithms. Q 3(d) What is the most probable score line? Q 3(e) In a particular match, over how long a time period would the probability of no goals be 20%?

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QUESTION 3
Suppose there are two football teams A and B. In recent matches Team A has a
mean of 1 goal per match and Team B has a mean of 2 goals per match.
Suppose that the probability of the number of goals scored by a team obeys a
Poisson Distribution
In the following questions, give the reasoning behind your answers.
You can express some answers in terms of logarithms.
Q 3(d)
What is the most probable score line?
Q 3(e)
In a particular match, over how long a time period would the probability of no goals
be 20%?
Transcribed Image Text:QUESTION 3 Suppose there are two football teams A and B. In recent matches Team A has a mean of 1 goal per match and Team B has a mean of 2 goals per match. Suppose that the probability of the number of goals scored by a team obeys a Poisson Distribution In the following questions, give the reasoning behind your answers. You can express some answers in terms of logarithms. Q 3(d) What is the most probable score line? Q 3(e) In a particular match, over how long a time period would the probability of no goals be 20%?
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