Points: 0 of 1
Determine whether the distribution is a probability distribution.
\begin{tabular}{ccccccc}
\hline$x$ & 0 & 1 & 2 & 3 & 4 & 5 \\
\hline$P(x)$ & $\frac{1}{10}$ & $\frac{1}{2}$ & $\frac{1}{20}$ & $\frac{1}{25}$ & $\frac{1}{50}$ & $\frac{1}{100}$ \\
\hline
\end{tabular}
Is the probability distribution a discrete distribution? Why? Choose the correct answer below.
A. Yes, because the distribution is symmetric.
B. No, because the total probability is not equal to 1 .
C. No, because some of the probabilities have values greater than 1 or less than 0 .
D. Yes, because the probabilities sum to 1 and are all between 0 and 1 , inclusive.

Step 1 ：To determine whether the distribution is a probability distribution, we need to check two conditions: 1. All the probabilities should be between 0 and 1, inclusive. 2. The sum of all probabilities should be equal to 1.

Step 2 ：Let's calculate the sum of the probabilities and check if all probabilities are between 0 and 1.

Step 3 ：The probabilities are \(\frac{1}{10}\), \(\frac{1}{2}\), \(\frac{1}{20}\), \(\frac{1}{25}\), \(\frac{1}{50}\), and \(\frac{1}{100}\), which are all between 0 and 1, inclusive.

Step 4 ：The sum of all probabilities is \(\frac{1}{10} + \frac{1}{2} + \frac{1}{20} + \frac{1}{25} + \frac{1}{50} + \frac{1}{100} = 0.72\), which is not equal to 1.

Step 5 ：Therefore, the distribution is not a probability distribution. The correct answer is B. No, because the total probability is not equal to 1.

Step 6 ：Final Answer: \(\boxed{\text{B. No, because the total probability is not equal to 1}}\).