The probability distribution of a random variable $X$ is as shown in the table: $x$$1$$2$\(3

Question

The probability distribution of a random variable $X$ is as shown in the table: $x$$1$$2$$3$$4$$5$ $P(X=x)$$\frac{1}{10}$$\frac{3}{10}$$y$$\frac{2}{10}$$\frac{1}{10}$ Find the value of $y$. Find the value of $E(X)$.

Accepted Answer

(i) $ \frac{3}{10} $ ; (ii) $ \frac{29}{10} $.

Computing expected value from the probability distribution table

Computing expected value from the probability distribution table