An article states that false-positives in polygraph tests (tests in which an individual fails even though he or she is telling the truth) are relatively common and occur about 20% of the time. Suppose that such a test is given to 10 trustworthy individuals. (Round all answers to four decimal places.) a. What is the probability that all 10 pass?b. What is the probability that more than 2 fail, even though all are trustworthy?c. The article indicated that 400 FBI agents were required to take a polygraph test. Consider the random variable x = number of the 400 tested who fail. If all 400 agents tested are trustworthy, what are the mean and standard deviation of x?