Question

Logan wants to know how many skateboards have defective parts. He inspects 20000 skateboards and keeps track of the number of defects per board. Use his probability distribution table to find the expected value for defects on a skateboard.(Rest of the problem needs to be sent as an image)a. 1/25b. 4/25c. 3/25d. 2/25

Answer 1

2nd option: 4/25

Explanation:

To find the expected value of the distribution, we multiply each outcome by its probability and the sum of this would be the expected value, like so:

`\begin{gathered} E(x)=0\cdot(9)/(10)+1\cdot(1)/(20)+2\cdot(1)/(25)+3\cdot(1)/(100) \\ \\ E(x)=0+(1)/(20)+(2)/(25)+(3)/(100) \\ \\ E(x)=(5)/(100)+(8)/(100)+(3)/(100)=(16)/(100)=(4)/(25) \end{gathered}`

Therefore, the correct answer is the 2nd option: 4/25