For the probability distribution xpx 0 104 202 301 Find P 0

For the probability distribution x/p(x) 0/? 1/0.4 2/0.2 3/0.1 Find P (0) P [ x GE 2] P [0

Solution

P(0)=1-(0.4+0.2+0.1) = 0.3

b)P(X>=2) =0.2+0.1 =0.3

c)P(0<X<=2) = 0.4+0.2 =0.6

d) E(X) = sum (x*p(x))

E(X) =1.1

Var(x)=2.1-(1.1)^2=0.89

SD(X) =0.943398

x	p(x)	x*p(x)	x^2*p(x)
0	0.3	0	0
1	0.4	0.4	0.4
2	0.2	0.4	0.8
3	0.1	0.3	0.9
		1.1	2.1