Question

A farmer counted the number of apples on each tree in his orchard. Number of apples Number of trees 15 1 24 2. 25 SS 3 X is the number of apples that a randomly chosen tree has. What is the expected value of X? Write your answer as a decimal.

Answer 1

We have the table of the number of apples versus the number of trees:

Number of apples Number of trees

15 1

24 2

25 4

If X is the number of apples, we can calculate the expected number of apples per tree by adding all the apples counted and dividing them by the number of trees counted.

$\bar{X}=\frac{15+24+25}{1+2+3}=\frac{64}{6}\approx10.67$

Answer: the expected number of apples per tree is approximately 10.67 apples.