1 The number of goals in a World Cup soccer match has a Poisson distribution with...

The number of goals in a World Cup soccer match has a Poisson distribution with a mean of 3. For a soccer player in World Cup, the probability of having an age over 30 is 0.2.

a. What is the probability of having 0 goal in a World Cup soccer match? (3 pts) What is the probability of having more than 1 goal in a World Cup soccer match?

b. What is the probability that 0 out of the 11 players in a World Cup soccer team are older than 30 ?

c. The probability that a soccer team wins a World Cup match is 0.7 if none of its players are older than 30. The probability that a soccer team wins a World Cup match is 0.4 if some players are older than 30. The probability that “no players are older than 30 in a World Cup soccer team” is your result from question b. A soccer team just won the latest World Cup match. Given this information, what is the probability that NO players in the team have an age over 30?

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The Answers

Answer a:

Probability of scoring 0 goals in the match = 0.0498

Probability of scoring more than 1 goal in the match = 0.8008

Answer b:

Probability that 0 out of 11 players in the team are older than 30 = 0.0859

Answer c:

Given that , a team has won the match ,

Probability that NO players in the team have an age over 30 = 0.6364

(All the Answers are rounded up to 4 decimal places)

orchestra answered 1 year ago

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