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In a valid probability distribution, each probability must be between 0 and 1,inclusive, and the probabilities must add up to 1. If a probability distribution is1/10 1/5 1/2 x what is the value of x?

In a valid probability distribution each probability must be between 0 and 1inclusive and the probabilities must add up to 1 If a probability distribution is110 class=

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SOLUTION:

All probabilities must add up to 1, thus;

[tex]\frac{1}{10}+\frac{1}{5}+\frac{1}{2}+x=1[/tex]

Solving, we have;

[tex]\begin{gathered} \frac{1}{10}+\frac{2}{10}+\frac{5}{10}+x=1 \\ \frac{8}{10}+x=1 \\ x=1-\frac{8}{10} \\ x=\frac{2}{10}=\frac{1}{5} \\ \end{gathered}[/tex]

Thus, the answer is 1/5

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