Question

The daily earnings of an employee who works on a commission basis are given by the following probability distribution. Find the employee's expected earnings.
$ (0 25 50 75 100 125 150)
Probability (.07 .12 .17 .14 .28 .18 .04

Answer 1

Answer: The employee's expected earnings is 78.5.

Step-by-step explanation:

Since we have given that

$   Probability

0         0.07

25       0.12

50       0.17

75       0.14

100     0.28

125      0.18

150     0.04

We need to find the employee's expected earnings.

As we know the formula for "Expectation":

$E(x)=0\times 0.07+25\times 0.12+50\times 0.17+75\times 0.14+100\times 0.28+125\times 0.18+150\times 0.04\\\\E(x)=0+3+8.5+10.5+28+22.5+6\\\\E(x)=78.5$

Hence, the employee's expected earnings is 78.5.