The expectation of the experiment is the mean or the average value of the experiment
The expectation of the experiment is 6.2
The expectation is calculated using the following formula of expected value
[tex]E(x) = \sum Outcome \times Probability[/tex]
Rewrite the formula properly, as:
[tex]E(x) = \sum x \times p(x)[/tex]
So, we have:
[tex]E(x) = 5 \times 0.5 + 6 \times 0.12 + 7 \times 0.2 + 8 \times 0.08 + 9 \times 0.06 + 10 \times 0.04[/tex]
Evaluate the above equation
[tex]E(x) = 6.2[/tex]
Hence, the expectation of the experiment is 6.2
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