Question

If the probability distribution for the random variable X is given in the table, what is the expected value of X? Xi -4 3 4 Pi 3 5 2

Answer 1

Answer:

Given Data

Given Probability distribution of X

C	-4	3	4
$p_{i}$	0.3	0.5	0.2

The expected value of random variable X is

$E(X)=\sum_{i=1}^{n}x_{i}\,*\,p(x_{i})$

$\Rightarrow E(X)=-4*0.3+3*0.5+4*0.2$

-1.2+1.5+0.8

  $=1.1$

$\therefore$ Expected value is E(X) is 1.1

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