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

This is not a valid probability mass function because the first basic condition of non negativity rule of probability values is not followed here. From the given function we can clearly see that:

P(X= 8 ) = -0.5

Which is not possible because probabilities values are always positive.

Therefore p is not a probability mass function because it does not satisfy the first condition of non negativity

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