A research team conducted a study showing that approximately 10% of all businessmen who wear ties wear them so tightly that they actually reduce blood flow to the brain, diminishing cerebral functions. At a board meeting of 15 businessmen, all of whom wear ties, what are the following probabilities? (Round your answers to three decimal places.) LO USE SALT (a) at least one tie is too tight (b) more than two ties are too tight (c) no tie is too tight (d) at least 13 ties are not too tight 10. [-/3.54 Points] DETAILS BBUNDERSTAT12 5.2.028.S. MY NOTES ASK YOUR TEACHER In the binomial probability distribution, let the number of trials be n = 3, and let the probability of success be p = 0.4228. Use a calculator to compute the following. LO USE SALT (a) The probability of two successes. (Round your answer to three decimal places.) (b) The probability of three successes. (Round your answer to three decimal places.) (c) The probability of two or three successes. (Round your answer to three decimal places.) 11. [-/3.54 Points] DETAILS BBUNDERSTAT12 5.3.006.S. MY NOTES ASK YOUR TEACHER Consider a binomial distribution with 12 trials. Either use SALT, or look at a binomial probability distribution table showing binomial probabilities for various values of p, the probability of success on a single trial. LO USE SALT (a) For what value of p is the distribution symmetric? P = What is the expected value of this distribution? Is the distribution centered over the value? Yes O No (b) For small values of p, is the distribution skewed right or left? O right O left (c) For large values of p, is the distribution skewed right or left? O right O left