State whether the function is a probability mass function or not. If not, explai

Question

State whether the function is a probability mass function or not. If not, explain why not. p = {(7, 0.7), (8, -0.5), (9, 0.8)} Select all that apply. A. p is not a probability mass function because it does not satisfy the second condition of probability mass functions. B. p is a probability mass function. C. p is not a probability mass function because it does not satisfy the third condition of probability mass functions. D. p is not a probability mass function because it does not satisfy the first condition of probability mass functions.

Explanation / Answer

Here for x = 8 we have a probability of occurence of -0.5 but a probability value only ranges from 0 to 1, it cannot be negative. Therefore this is not a valid probability mass function.

The non negativity property of probability mass function is not followed here.

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