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Christine ran a video game competition and recorded the scores of all the contestants. Score Number of people 426 4 572 1 859 2 900 1 1 951 2 X is the score that a randomly chosen person scored. What is the expected value of X? Write your answer as a decimal.

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3 votes

The expected value is defined by


E=\Sigma x\cdot P(x)

We have to multiply each score by its probability


\begin{gathered} E=426\cdot(4)/(10)+572\cdot(1)/(10)+859\cdot(2)/(10)+900\cdot(1)/(10)+951\cdot(2)/(10) \\ E=170.4+57.2+171.8+90+190.2 \\ E=679.6 \end{gathered}

Hence, the expected value is 679.6.

User Zoker
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