16 Given the following pmf 1 Find the following probabilitie

1.6. Given the following pmf. 1. Find the following probabilities 2. find the cdf. 3. Plot the cdf.

Solution

The pmf is given . Hence CDF will look as follows:

1)

a) P(X<=2) = 1   b) P(X>-2) = 1=0.2 = 0.8

c) P(-1<x<=1) = 0.3

d) P(X<=-1 or P(X=2)

= 0.6+0.1 =0.7

e) P(-1<=x<1) = 0.4+0.1 = 0.5

f) P(-1<x<1_ = P(0) = 0.1

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3) Plot cdf

	x	-2	-1	0	1	2	Total
	P	0.2	0.4	0.1	0.2	0.1	1
CDF
Cum prob
X<=x		0.2	0.6	0.7	0.9	1