The sample space listing the eight simple events that are possible when a couple has three children is (bbb, bbg, bgb. bgg, gbb, gbg, ggb, ggg). After identifying the sample space for a couple having four children, nd the probability of getting one girl and three boys (in any order). Identify the sample space for a couple having four children. ( } (Use a comma to separate answers as needed.) Find the probability of getting one girl and three boys (in any order). E (Type an integer or a decimal. Do not round.) Households are randomly selected and partitioned into groups of four. For those groups, the random variable x is the number of households with a printer. Determine whether a probability distribution is given. If a probability distribution is X P(x) given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. 0 0.025 0.145 0.339 0.354 0.137 . .. Does the table show a probability distribution? Select all that apply. A. Yes, the table shows a probability distribution. B. No, the numerical values of the random variable x are not associated with probabilities. C. No, not every probability is between 0 and 1 inclusive. D. No, the sum of all the probabilities is not equal to 1. E. No, the random variable x is categorical instead of numerical. Find the mean of the random variable x. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. H= household(s) (Round to one decimal place as needed.) O B. 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, fill in the answer box to complete your choice. O A. = household(s) (Round to one decimal place as needed.) O B. The table does not show a probability distribution