Question

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Answer 1

The valid probability distributions are the ones in options C and D.

Which of the following are valid probability distributions?

For discrete random variables with probabilities p₁, p₂, ..., pₙ, there are two rules:

• All of these probabilities are numbers between 0 and 1.
• p₁ + p₂ + ... + pₙ = 1.

So, for the first rule we can discard the first option, where we have negative probabilities.

To check the other 4 options, just add the probabilities and see if the addition gives 1.

The options that add up to 1 are C and D, so these two are the correct options.

D: 1/5 + 1/10 + 1/10 + 1/10 + 1/5 + 1/10 + 1/10 + 1/10 = 1

C: 1/6 + 1/6 + 1/6 + 1/6 + 1/6 + 1/6 = 1

If you want to learn more about probability:

brainly.com/question/25870256

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