Question

five males with an x - linked genetic disorder have one child each. the random variable x is the number of children among the five who inherit the x - linked genetic disorder. 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. does the table show a probability distribution? select all that apply. a. yes, the table shows a probability distribution. b. no, the random variable xs number values are not associated with probabilities. c. no, the sum of all the probabilities is not equal to 1. d. no, the random variable x is categorical instead of numerical. e. no, not every probability is between 0 and 1 inclusive.

Explanation:

Step1: Check if \( P(x)\geq0 \) for all \( x \)

All given \( P(x) \) values (\(0.034, 0.154, 0.312, 0.312, 0.154, 0.034\)) are between \(0\) and \(1\) inclusive.

Step2: Check if \(\sum P(x)=1\)

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Since \( P(x)\geq0 \) for all \( x \) and \(\sum P(x) = 1\), the table shows a probability distribution.

Answer:

A. Yes, the table shows a probability distribution.