Question

Hi, can you help me answer this question, please, thank you!

Answer 1

8.15 or 163/20 or 8 3/20

Step-by-step explanation:

The expected value of a random variable can be determined by the below formula;

`\mu=\Sigma x\ast p(x)`

where

`\begin{gathered} \mu=\text{ Expected value ( Mean)} \\ x=given\text{ scores} \\ p(x)=the\text{ probability} \end{gathered}`

So all we need to do is multiply each of the given score values by their respective probability values and find the sum as shown below;

`\mu=(0\ast0.1)+(6\ast0.05)+(7\ast0.35)+(10\ast0.2)+(11\ast0.2)+(12\ast0.1)_{}`
`\mu=0+0.3+2.45+2+2.2+1.2`
`\mu=8.15`

We can also express our answer as a fraction as shown below;

`(8.15)/(1)=(815)/(100)=(163)/(20)=8(3)/(20)`