The number of goals scored at State College soccer games follows a Poisson proce

Question

The number of goals scored at State College soccer games follows a Poisson process with a goal scored approximately every 18 minutes (a soccer game consists of two 45-minute halves). Compute lambda (the expectation) and sketch the graph to answer each of the following. A) What is the probability that three goals will be scored in the first half of the game B) What is the probability that five goals will be scored in one game C) What is the probability that zero goals will be scored in the first nine minutes of the game

Explanation / Answer

a) Use Excel funtion

POISSON.DIST(15,18,TRUE)

= 0.2867

b) Use Excel funtion

POISSON.DIST(9,18,TRUE)

= 0.0154

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