Question

Select the correct answer. x Probability 0 0.2 1 0.1 2 0.4 3 0.2 4 0.1 The probability distribution of x, a discrete random variable, is given in the table. What is the expected value of x? A. 0.8 B. 1.9 C. 2 D. 5

Answer 1

Answer: The option B. 1.9 is correct

Explanation:

We are given the below information:

x               Probability P(x)

0                      0.2

1                       0.1

2                      0.4

3                       0.2

4                       0.1

The expected value of x is given below:

$E(x)=\sum x P(x)$

         $=(0 \times 0.2)+(1 \times 0.1)+(2 \times 0.4)+(3 \times 0.2)+(4 \times 0.1)$

        $=0+0.1+0.8+0.6+0.4$

        $=1.9$

Therefore, the expected value of x is 1.9