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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

Probability 01 03 02 02 01 01 Which is the expected value of the random variable with the given probability distribution a 17 c 178 b 172 class=

Respuesta :

Answer:

it is going to be a

Step-by-step explanation:

but u have to add the number and move your demical

Answer:

Option b 17.2

Step-by-step 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) = [tex]\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[/tex]

Hence option b is right answer.

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