Frequency Distribution The total number of goals scored in a World Cup soccer match approximately follows the following distribution. Goals Scored 0 1 Probability 2 0.08 0.2 0.26 3 4 5 6 7 0.2 0.14 0.07 0.03 0.02 (a) Let X be the number of goals scored in a randomly selected World Cup soccer match. Write out the PMF for X and explain why it is a valid PMF. (b) Compute the mean and variance of X.

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Frequency Distribution The total number of goals scored in a World Cup soccer match
approximately follows the following distribution.
Goals Scored 0 1
Probability
2
3
4
5
6
7
0.08 0.2 0.26 0.2 0.14 0.07 0.03 0.02
(a) Let X be the number of goals scored in a randomly selected World Cup soccer match.
Write out the PMF for X and explain why it is a valid PMF.
(b) Compute the mean and variance of X.
Transcribed Image Text:Frequency Distribution The total number of goals scored in a World Cup soccer match approximately follows the following distribution. Goals Scored 0 1 Probability 2 3 4 5 6 7 0.08 0.2 0.26 0.2 0.14 0.07 0.03 0.02 (a) Let X be the number of goals scored in a randomly selected World Cup soccer match. Write out the PMF for X and explain why it is a valid PMF. (b) Compute the mean and variance of X.
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