Question

A machine at the candy factory dispensed different numbers of lemon-flavored candies into various bags. Number of lemon-flavored candies Number of bags 29 1 69 4 108 5 4 118 5 162 4 167 2 186 X is the number of lemon-flavored candies that a randomly chosen bag had. What is the expected va of X? Write your answer as a decimal.

Answer 1

In order to calculate the expected value of x, we just need to divide the total number of lemon-flavored candies by the total number of bags, so we have:

`\begin{gathered} E(x)=(29\cdot1+69\cdot4+108\cdot5+118\cdot4+162\cdot5+167\cdot4+186\cdot2)/(1+4+5+4+5+4+2) \\ E(x)=(3167)/(25) \\ E(x)=126.68 \end{gathered}`

So the expected value of x is 126.68.