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Sagot :

An expected value is the theoretical mean value of a numerical experiment over many repetitions of the experiment and is calculated by multiplying each possible outcome by the respective probability and then summing all of those values, that is,

[tex]E=\Sigma_ix_i\times P(x_i)[/tex]

By substituting the given values into the expected value formula, we get

[tex]E=-1.25\times0.6+(-0.25)\times0.2+0\times0.1+0.50\times0.1[/tex]

which gives

[tex]E=-0.75-0.05+0+0.05[/tex]

Therefore, the expected value is:

[tex]E=-0.75[/tex]

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