Question

Given that, 55% of the time I score four goals in a soccer match, 35% of the time I score 3 goals, 5% of the time I score 2 goals, and 5% of the time I score 1 goal, what is the variance and expected value for this scenario?

Answer 1

the necessary probability distribution (including calculations) table :-

number of goals (x)	P(x)	x*P(x)	x2*P(x)
4	0.55	2.2	8.8
3	0.35	1.05	3.15
2	0.05	0.1	0.2
1	0.05	0.05	0.05
		sum = 3.4	sum = 12.2

the expected value of the scenario is :-

the variance of the scenario is :-

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