Questions: Determine whether the table represents a discrete probability distribution. Explain why or why not. x P(x) -2 0.35 0 0.15 2 0.25 4 0.15 The table represent a discrete probability distribution because does does not

Determine whether the table represents a discrete probability distribution. Explain why or why not.

x P(x)
-2 0.35
0 0.15
2 0.25
4 0.15

The table represent a discrete probability distribution because
does does not

Transcript text: Determine whether the table represents a discrete probability distribution. Explain why or why not. \begin{tabular}{cc} \hline$x$ & $P(x)$ \\ \hline-2 & 0.35 \\ 0 & 0.15 \\ 2 & 0.25 \\ 4 & 0.15 \\ \hline \end{tabular} The table $\square$ represent a discrete probability distribution because $\square$ does $\square$ does not

Solution

Solution Steps

Step 1: Check for Valid Probabilities

To determine if the given table represents a discrete probability distribution, we first check if all probabilities are between 0 and 1, inclusive. In this case, all probabilities are within the valid range.

Step 2: Check for Probability Sum

To represent a discrete probability distribution, the sum of all probabilities must be exactly 1. The sum of the given probabilities is 0.9.