The number of goals in a soccer match tends to follow a Poisson Distribution. Su
ID: 3277715 • Letter: T
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 thatA) 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)