Question

Find the expected value E(X) of the following data. Round your answer to one decimal place.AnswerHow to enter your answer (opens in new window)6P(X = x) 0.1x789100.2 0.2 0.2 0.3

Answer 1

The calculated expected value of the variable x is 8.4

How to determine the expected value of X?

From the question, we have the following parameters that can be used in our computation:

The table of values

The expected value of X is calculated as

E(x) = Sum of x * Probability

Using the above as a guide, we have the following:

E(x) = 6 * 0.1 + 7 * 0.2 + 8 * 0.2 + 9 * 0.2 + 10 * 0.3

Evaluate

E(x) = 8.4

Hence, the expected value of x is 8.4

Answer 2

`E(X)=\Sigma xP(x)`
`\begin{gathered} (6*0.1)+(7*0.2)+(8*0.2)+(9*0.2)+(10*0.3) \\ \\ =8.4 \end{gathered}`

Note ; We multiplied each of the x-values with their probabilities and obtain the sum of all. This gives the expected value.