Question

Five males with an X-linked canete sorder have one chach The Po random visbiex is the number of children among the live who inherit 031 the X-Winked genetic disorder Determine whether a probability distrbution 153 is given if a probability distribution is given, find me and Wandard 2:36 devision, a probability distribution is not given, Kently the requirements 0310 that are not satisfied 4 0.163 $ 0.031 Does the table show a probability diwrbution Blect all that cely A. Yes, the table shows a probability distribution B. No, not every probability is between 0 and 1 inclusive C. No, the random variable x is categorical instead of numerical DD. No, the sum of all the probabilities is not equal to 1 E. No, the random variable x's number values are not associated with probabilities Find the mean of the random variable x Select the correct choice below and, if necessary to in the answer box to complete your choice ОА children (Round to one decimal place as needed) OB. The table does not show a probability distribution Find the standard deviation of the random variable x. Select the correct choice below and, if necessary in the answer box to complete your choice OA children (Pound to one decimal place as needed) OB. The table does not show a probability distribution

Answer 1

every probability is between 0 and 1.

the sum of all probabilities is equal to 1.

therefore the correct option is (a) .

Yes, the table shows a probability distribution.

X p(x) x² pcx) Þ(x) 0.03 ) O 0 0 0.153 2 0.316 0.153 0.632 0.948 3 0.316 0.153 1.264 2.844 2.448 0.775 - 04.64 7.484 4 0.612 0.153 0.031 5 0.155 = 2.5 mean = { x: pcx) 2.5 2 Variance a [1? per) (mean) (2.52 4.64 7.484 Variance 1.234 standard deviation. 3 variance 1.234 Standard deviation Lil mean 2.5