Question

Chloe counted the number of silver beads on each bracelet at Rockport Jewelry, the store where she works. Number of silver beads Number of bracelets O 3 4 15 2 35 2 36 1 56 3 86 5 X is the number of silver beads that a randomly chosen bracelet had. What is the expected va Write your answer as a decimal.

Answer 1

Calculate the average of the number of silver beads weighted by the number of bracelets to find the expected value of x:

`\begin{gathered} x=(3\cdot0+4\cdot6+2\cdot15+2\cdot35+1\cdot36+3\cdot56+5\cdot86)/(3+4+2+2+1+3+5) \\ =(758)/(20) \\ =37.9 \end{gathered}`

Therefore, the expected value of x is:

`37.9`