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. 1. Does the table show a probability​ distribution? Select all that apply. A  Yes, the table shows a probability distribution.

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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.

1. Does the table show a probability​ distribution? Select all that apply.

A  Yes, the table shows a probability distribution.
This is the correct answer.
 
B. No, the random variable​ x's number values are not associated with probabilities.
 
C. No, the random variable x is categorical instead of numerical.
 
D. ​No, the sum of all the probabilities is not equal to 1.
 
E. No, not every probability is between 0 and 1 inclusive.
 
2. Find the mean of the random variable x, or does table does not show a probability distribution? 
 
3. Find the standard deviation of the random variable x, or does table does not show a probability distribution? 
 
 
X
P(x)
0.653
0.291
0.052
0.003
0.001
0.000
2345
Transcribed Image Text:X P(x) 0.653 0.291 0.052 0.003 0.001 0.000 2345
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