The number of goals in a soccer match tends to follow a Poisson Distribution. Su

Question

The number of goals in a soccer match tends to follow a Poisson Distribution. Suppose you go to see a Major League Soccer game. Also, suppose that the average number of goals per game is 2.32. What is the probability that
A) You see 3 goals? B) You see more than 2, but less than 5 goals? C) You see NO goals? D) You see more than 5? The number of goals in a soccer match tends to follow a Poisson Distribution. Suppose you go to see a Major League Soccer game. Also, suppose that the average number of goals per game is 2.32. What is the probability that
A) You see 3 goals? B) You see more than 2, but less than 5 goals? C) You see NO goals? D) You see more than 5? The number of goals in a soccer match tends to follow a Poisson Distribution. Suppose you go to see a Major League Soccer game. Also, suppose that the average number of goals per game is 2.32. What is the probability that
A) You see 3 goals? B) You see more than 2, but less than 5 goals? C) You see NO goals? D) You see more than 5?

Explanation / Answer

a) P(X = 3)

Use Excel function

POISSON.DIST(3,2.32,FALSE)

= 0.2045 (rounded to four places of decimal)

b) P(2<X<5)

Use Excel function

POISSON.DIST(2,2.32,TRUE)-POISSON.DIST(4,2.32,TRUE)

= 0.3232 (rounded to four places of decimal)

c) P(X = 0)

Use Excel function

POISSON.DIST(0,2.32,FALSE)

= 0.0983 (rounded to four places of decimal)

d) P(X>5)

Use Excel function

1-POISSON.DIST(5,2.32,TRUE)

= 0.0311 (rounded to four places of decimal)

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