A binomial experiment has the given number of trials ?! and the given success probability P. n = 8. p= 0.3 Part 1 of 3 V (a) Determine the probability P (3). Round the answer to at least three decimal places, P (3) = 0.2541 Part: 1 / 3 Part 2 of 3 (b) Find the mean. Round the answer to two decimal places. The mean iscertain school has eight members. Four members will form an executive committee Committee: The Student Council at a certain school and a treasu consisting of a president, a vice president, a secretary, and a treasurer. Part 1 of 4 In how many ways can these four positions be filled? There are |1680 ways to fill the four positions. Part 2 of 4 V In how many ways can four people be c e committee if it does not matter who gets which position? There are | 70 ways to choose four people for the utive committee if it does not matter who gets which position. Part 3 of 4 Four of the people on Student Council are Zachary, Yolanda, Xavier, and Walter, What is the probability that Zachary is places. president, Yolanda is vice president, Xavier is secretary, and Walter is treasurer? Round your answers to at least 6 decimal The probability that Zachary is president, Yolanda is vice president. Xavier is secretary, and Walter is treasurer is | 0.000595 part: 3 / 4 part 4 of 4 at least 6 decimal places. What is the probability that Zachary, Yolanda, Xavier and walter are the four committee members? Round your answers to The probability that Zachary Yolanda, Xavier and walter are the four A binomial experiment has the given number of trials 72 and the given success probability P. n=12, p= 0.8 Part 1 of 3 V (a) Determine the probability P (11 or more). Round the answer to at least four decimal places. P(11 or more) = 0.2749 Part 2 of 3 V (b) Find the mean. Round the answer to two decimal places. The mean is | 9.60 Part: 2 / 3 Part 3 of 3 three decimal places. (c) Find the variance and standard deviation. Round the variance to two decimal places and standard deviation to at least The vanance is X The standard deviation is