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Steve counted the number of desks in each classroom at his school. Number or desks Number of classrooms 11 3 14 1 40 2 4.1 3 42 1 X is the number of desks that a randomly chosen classroom has. What is the expected value of X? Write your answer as a decimal.

Answer :

In order to calculate the expected value of x, we can divide the total number of desks by the total number of classrooms, so we have:

[tex]\begin{gathered} E(x)=\frac{11\cdot3+14\cdot1+40\cdot2+41\cdot3+42\cdot1}{10} \\ E(x)=\frac{292}{10} \\ E(x)=29.2 \end{gathered}[/tex]

So the expected value of x is 29.2.

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