The question in the screenshot ### Probability Distribution and Color Blindness in MalesWhen conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable \( x \) represents the number of males in the group who have a form of color blindness. The task is to determine whether a probability distribution is given. If a probability distribution is present, you can find its mean and standard deviation. Otherwise, identify the requirements that are not satisfied.The table below shows the values for \( x \) and their corresponding probabilities \( P(x) \):| \( x \) | \( P(x) \) ||---------|------------|| 0 | 0.657 || 1 | 0.286 || 2 | 0.052 || 3 | 0.004 || 4 | 0.001 || 5 | 0.000 |#### QuestionDoes the table show a probability distribution? Select all that apply:- [ ] A. Yes, the table shows a probability distribution.- [ ] B. No, the random variable \( x \)'s number values are not associated with probabilities.- [ ] C. No, the sum of all the probabilities is not equal to 1.- [ ] D. No, not every probability is between 0 and 1 inclusive.- [ ] E. No, the random variable \( x \) is categorical instead of numerical.

Answered: Image /qna-images/answer/b94f5ab4-833b-49e1-accf-4c058b2c0390.jpg

When conducting research on color blindness in males, a researcher forms random groups with five males in each group. The random variable x is the number of males in the group who have a form of color blindness. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. P(x) 0.657 1 0.286 2 0.052 3 0.004 4 0.001 5 0.000 ..... Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the random variable x's number values are not associated with probabilities. C. No, the sum of all the probabilities is not equal to 1. D. No, not every probability is between 0 and 1 inclusive. E. No, the random variable x is categorical instead of numerical.