In: Statistics and Probability
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. x P(x) 0 0.027 1 0.149 2 0.324 3 0.324 4 0.149
Given probability distribution is valid if sum of probabilities equal to 1.
P(X) = 0.027 + 0.149 + 0.324 + 0.324 + 0.149 = 0.973
Since sum of probabilities not equal to 1 , this is not valid probability distribution.