Question

The table below shows the probability distribution of students in a highschool with 1500 students. What is the expected value for the ageof arandomly chosen student?Age131415161718Probability.0.010.250.300.280.150.01A. 15.28B. 15.64C. 15.34D. 15.36

Answer 1

We are required to determine the expected value of the given distribution

The formula for expected value is shown below

Thus,

`\begin{gathered} Expected\text{ value =13\lparen0.01\rparen+14\lparen0.25\rparen+15\lparen0.30\rparen+16\lparen0.28\rparen+17\lparen0.15\rparen+18\lparen0.01\rparen} \\ = \end{gathered}`
`=0.13+3.5+4.5+4.48+2.55+0.18`
`=15.34`

The correct option is C