Question

Suppose that the cumulative distribution function of the discrete random variable X is given by x V < 0 1L F(x) = { 1 +71 051 x < 2 1 VI Find P{X = 1}, P{X = 2}, P{X = 3} o 1, 11,1 OZ, ÉS 0 ];j; oh, o 12

Simple Probability Question, Please explain with details, thank you so much.

Answer 1

P(X = 1) = P(X 51) - P(X 50) = F(1)-F(0) (i 1-1 0 4 / 4 - + - +- P(X = 2) = P(X 2) - P(X s1) = F (2)-F (1) 11 (1 1-1 - - - +- 12 ( 24) = 12 2 ) P(X = 3)=P(X<3)-P(X = F (3) - F(2) =1-11

Ans :

1 5 1 2 12 12

-----------------------------------------------------------------------------------------------------------------------

p{}<x<3)=P(0.5< X<1.5)= P(X = 1) = }} (ans)

Note : As per HOMEWORKLIB POLICY, one question can be answered per one post.