Question

Probability 0.1 0.3 0.2 0.2 0.1 0.1 Which is the expected value of the random variable with the given probability distribution? a. 17 c. 17.8 b. 17.2

Answer 1

it is going to be a

Explanation:

but u have to add the number and move your demical

Answer 2

Option b 17.2

Explanation:

Given is a probability distribution of a random variable say x in table form.We have to find the mean.

All probabilities lie between 0 and 1 and add to 1.

Hence this is a valid prob distribution.

To find mean we multiply the random variable x value with probability and add.

Mean = E(X) =
`\Sigma p_i x_i = 15(0.1)+16(0.3)+17(0.2)+18(0.2)+19(0.1)+20(0.1)\\=1.5+4.8+3.4+3.6+1.9+2\\= 17.2`

Hence option b is right answer.