Question

The owner of a plant nursery wrote down the number of roses on each bush. Number of roses Number of bushes 0 4 38 4 73 2 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

44.4

Step-by-step explanation:

`\begin{gathered} \text{The total number of bushes }=4+4+2 \\ =10 \end{gathered}`

Therefore, the expected number of roses is:

`\begin{gathered} \text{Expected Number}=\sum XP(X) \\ =(0*(4)/(10))+(38*(4)/(10))+(73*(4)/(10)) \\ =0+15.2+29.2 \\ =44.4 \end{gathered}`

The expected value of X is 44.4.