Question

The owner of a plant nursery wrote down the number of roses on each bush. Roses per bush 16 16 16 16 16 16 16 22 22 76 X is the number of roses that a randomly chosen bush has. What is the expected value of X? Write your answer as a decimal.

Answer 1

Find the average number of roses per bush by adding all the numbers and dividing the sum by the amount of bushes.

Notice that there are 10 bushes.

Then, the expected value of x is:

$\begin{gathered} x=\frac{16+16+16+16+16+16+16+22+22+76}{10} \\ =\frac{232}{10} \\ =23.2 \end{gathered}$

Therefore, the expected value of x is:

$23.2$