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