Question

Construct cumulative distribution function for the given probability distribution.

X	0	1	2	3
P(X = x)	0.3	0.	0.4	0.1

Answer 1

F(0) = P(x ≤ 0)

= p(0) = 0.3

F(1) = P(x ≤ 1)

= p(0) + p(1)

= 0.3 + 0.2

= 0.5

F(2) = P(x ≤ 2)

= P(0) + P(1) + P(2)

= 0.3 + 0.2 + 0.4

= 0.9

F(3) = P(x ≤ 3)

= P(0) + P(2) + P(3) + P(4)

= 0.3 + 0.2 + 0.4 + 0.1

= 1