X is a binomial n10 p05 x 010 make a table of Px010 show t

X is a binomial ( n=10, p=0.5)

x = 0:10

make a table of P(x=0:10)

show that sum (x*P (x=x)) E(x) = 10*0.5=5

thus, Sum of x * P(x) = E(x) = 10 * 0.5 = 5

Hope this helps.

	n	10
	p	0.5
	q	0.5
X	Probability	Expectation
0	0.00098	0
1	0.00977	0.00977
2	0.04395	0.08789
3	0.11719	0.35156
4	0.20508	0.82031
5	0.24609	1.23047
6	0.20508	1.23047
7	0.11719	0.82031
8	0.04395	0.35156
9	0.00977	0.08789
10	0.00098	0.00977

	Sum	5.00000

X is a binomial ( n=10, p=0.5) x = 0:10 make a table of P(x=0:10) show that sum (x*P (x=x)) E(x) = 10*0.5=5Solutionthus, Sum of x * P(x) = E(x) = 10 * 0.5 = 5 H

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