A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls out of four children born to a randomly selected couple in that town. Its probability distribution is shown below. Complete parts a through c.   x 0 1 2 3 4   ​P(X=​x) 0.0867 0.2695 0.3673 0.1801 0.0964     b. Obtain the standard deviation of the random variable. σ=____ ​(Round to four decimal places as​ needed.)

A census collected data on everyone that lived in a certain small town. The random variable X is the number of girls born to a randomly selected couple in that town who has four children. Its probability distribution is shown below. Complete parts a through c. X 4 O 0 P(X=x) 0.0857 2 0.3208 3 0.2415 0.2447 0.1073 i ne mean number of children in a family with four girls iS b. Obtain the standard deviation of the random variable. 0= 1.1209 (Round to four decimal places as needed.) c. Construct a probability histogram for the random variable; locate the mean; and show one-, two-, and three-standard-deviation intervals. Choose the correct histogram below. B. O C. D. Number of Girls Number of Girls Number of Girls Number of Girls 0.5- 0.5- 0.4- 0.3- 0.4- 0.5- 0.4- 0.3- 0.2- 0.1- 0.3- 0.2- 0.2- n 0.1- 0.1- 0 0012 0 1 2 3 4 01234 01234 01234 The mean is 2.0400. (Type an integer or decimal rounded to four decimal places as needed.) The one-standard-deviation interval is.. the…

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 0.032       1 0.162       2 0.306       3 0.306       4 0.162       5 0.032           Does the table show a probability​ distribution? Select all that apply.     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.   D. ​No, the sum of all the probabilities is not equal to 1.   E. ​No, the random variable​ x's number values are…

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 0.028       1 0.152       2 0.320       3 0.320       4 0.152       5 0.028