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Question: Random variable X has its range = {0, 1, 2} and their probabilities are given by P(x=0) = 3k<sup>3</...

Random variable X has its range = {0, 1, 2} and their probabilities are given by P(x=0) = 3k3, P(x=1) = 4k – 10k2. P(x=2) = 5k-1. P(0<x<3) =

A

1/9

B

2/9

C

8/9

D

1/3

Answer

8/9

Explanation

Solution

X012
P(x)1/92/92/3

P(0<x<3) = P(x=1) + P(x=2)

= 29+23=89\frac { 2 } { 9 } + \frac { 2 } { 3 } = \frac { 8 } { 9 }