Name: Date: Chapter 7.5 - 7.7 Distributions Take-Home 3. (7 points) A polygraph test is used to determine whether people are telling the truth or not, but it is not completely accurate. When a person tells the truth, they have a 20% outcome. chance of failing the test. Each test outcome is independent of any previous test 10 people take a polygraph test and all 10 tell the truth. a. Calculate the expected number of people who will pass this polygraph [2 marks] test. b. Calculate the probability that exactly 4 people will fail this polygraph [2 marks] test. P ( * = 4 ) = C. Determine the probability that fewer than 7 people will pass this [3 marks] polygraph test. P ( x