Probability - Gravner-56

Question

Let $X$ be a random variable with $P(X=1) =0.2, P(X=2) = 0.3$, and $P(X=3) = 0.5$. What is the expected value of $X$?

Comments

$1 \times 0.2 + 2 \times 0.3 + 3 \times 0.5 =$$\large 2.3$

Answer 1

$Expectation, E[X] = \sum x_{i} P(x_{i})$

$Expectation, E[X] = 1*0.2 + 2*0.3 + 3*0.5 = 2.3$