Question

Mitch counted all the beads in each necklace at the jewelry store where he works. Number of beads Number of necklaces 79 2 81 4 141 1 165 2 197 1 X is the number of beads that a randomly chosen necklace had. What is the expected value of x Write your answer as a decimal.

Answer 1

number of beads(xi) number of neckless probability p(x) p(x)xi

79 2 0.2 15.8

81 4 0.4 32.4

141 1 0.1 14.1

165 2 0.2 33

197 1 0.1 19.7

Total = 10

$\begin{gathered} \text{Expected value of x =}\Sigma p(x_{})xi \\ 15.8\text{ + 32.4 + 14.1 + 33 + 19.7 =115} \end{gathered}$