determine whether the following is a probability distribution. if not, identify the requirement that is not…

determine whether the following is a probability distribution. if not, identify the requirement that is not satisfied.\n|x|p(x)|\n|0|0.280|\n|1|0.288|\n|2|-0.045|\n|3|0.061|\n|4|0.288|\n|5|0.128|\nprobability distribution.\nnot a probability distribution. one of the p(x)s is negative.\nnot a probability distribution. the sum of the p(x)s is not 1.

determine whether the following is a probability distribution. if not, identify the requirement that is not satisfied.\n|x|p(x)|\n|0|0.280|\n|1|0.288|\n|2|-0.045|\n|3|0.061|\n|4|0.288|\n|5|0.128|\nprobability distribution.\nnot a probability distribution. one of the p(x)s is negative.\nnot a probability distribution. the sum of the p(x)s is not 1.

Answer

Explanation:

Step1: Recall probability - distribution requirements

A probability - distribution has two requirements: 1. (0\leq P(x)\leq1) for all (x). 2. (\sum_{x}P(x)=1).

Step2: Check non - negativity

We see that (P(2)= - 0.045\lt0). Since one of the (P(x)) values is negative, it does not satisfy the first requirement.

Answer:

Not a probability distribution. One of the (P(x))'s is negative.