Question

why is the following not a probability model? click the icon to view the data table. determine why it is not a probability model. choose the correct answer. a. this is not a probability model because at least one probability is greater than 0. b. this is not a probability model because the sum of the probabilities is not 1. c. this is not a probability model because at least one probability is less than 0. d. this is not a probability model because at least one probability is greater than 1.

Explanation:

Step1: Recall probability - model rules

A probability model must satisfy two conditions: 1. Each probability value $P(x)$ must satisfy $0\leq P(x)\leq1$. 2. The sum of all probabilities $\sum P(x)=1$.

Step2: Analyze the options

Option A is too general. Option B is incorrect because probabilities should be greater than or equal to 0. Option C is correct as the sum - of - probabilities condition is a fundamental requirement for a probability model. Option D is incorrect as it focuses on a single probability being greater than 1, while the key here could be the sum not being 1.

Answer:

C. This is not a probability model because the sum of the probabilities is not 1.