Question

question: look at the table below. why is this table not a probability distribution?
a. at least one of the individual probabilities (individual items in the second column) is less than 0 or greater than 1.
b. the random variable is not numerical.

Explanation:

Step1: Check probability rules

In a probability distribution, each individual probability \(P(x)\) must satisfy \(0\leq P(x)\leq1\).

Step2: Analyze given probabilities

Looking at the values \(P(1) = 3.20\) and \(P(2)=1.12\). Since \(3.20> 1\) and \(1.12>1\), these violate the rule that \(P(x)\leq1\) for all \(x\).

Answer:

A. At least one of the individual probabilities (individual items in the second column) is less than 0 or greater than 1.