3.1 - Male Color Blindness. When conducting research on color blindness in males

Question

3.1 - Male Color Blindness. 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 (based on data from the National Institutes of Health). 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. 2 0.659 0.287 0.050 0.004 0.001

Explanation / Answer

For any distribution to be a probability distribution, following two conditions must be satisfied:

1. All the probabilities should be between 0 and 1, inclusive.

2. The sum of all the probabilities should be 1.

Here,

1. This condition is satisfied because all the probabilities are between 0 and 1.

2. Sum = 0.659 + 0.287 + 0.050 + 0.004 + 0.001 + 0+ = 1.001

Since the sum is greater than 1, this is not a valid probability distribution.

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