2Find the mean and variance of the following distributions n

(2)Find the mean and variance of the following distributions ntry (1)3 0 otherwise for x=0,1,2,3 f(x) - otherwise

Solution

Pdf of x is drawn below

From the table we find that Mean = 1.50

Variance = 3.00-1.5² = 0.75

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b)The pdf is given below

x	0	1	2	3	Total
p(x)	0.13	0.38	0.38	0.13	1.00
xp	0.00	0.38	0.75	0.38	1.50
x^2p	0.000	0.375	1.500	1.125	3.000