Compute the mean and standard deviation of the random variable with the given discrete probability distribution. x P (x) 710 0.12 9 0.24 2 0.15 4 0.23 8 0.26 Send data to Excel Part1 on (a) Find the mean. Round the answer to three decimal places, if necessary. The mean is I *1 . 7 X 53 Part2 of 2 (b) Find the standard deviation. Round the answer to three decimal places, if necessary. The standard deviation is 1 7.211 . X 6) Compute the mean and standard deviation of the random variable with the given discrete probability distribution. x P (x) 5 0.13 3 0.25 *1 0.16 3 0.21 9 0.25 Send data to Excel Part 1 of Z (a) Find the mean. Round the answer to three decimal places, if necessary. Th ' .6 . e mean IS I_ X 53 Part 2 of 2 (b) Find the standard deviation. Round the answer to three decimal places, if necessary. The standard deviation is i 4.963 . X 5) A family has four children. If the genders of these children are listed in the order they are born, there are sixteen possible outcomes: BBBB, BBBG, BBGB, BGBB, GBBB, BGBG, GBGB, BGGB, GBBG, BBGG, GGBB, BGGG, GBGG, GGBG, GGGB, and GGGG. Assume these outcomes are equally likely. Let X represent the number of children that are girls. Find the probability distribution of X. Part 1 of 2 (a) Find the number of possible values for the random variable X. There are 5 possible values for the random variable X. Part: 1 / 2 Part 2 of 2 (b) Find the probability distribution of ). Round your answers to four decimals as needed. X 0 2 3 4 X P(x)