Question

A candy dispenser put various numbers of orange candies into bags. Number of orange candies Number of bags 47 4 131 4 173 2 X is the number of orange candies that a randomly chosen bag had. What is the expected value of X? Write your answer as a decimal.

Answer 1

We have 4 bags with 47 candies each, 4 bags with 131 candies each and 2 bags with 173 candies each. In order to calculate the expected value of x, we can divide the total number of candies by the total number of bags:

`\begin{gathered} E(x)=(47\cdot4+131\cdot4+173\cdot2)/(10) \\ E(x)=105.8 \end{gathered}`

So the expected value of x is 105.8.