Polygraph result table Did the Subject Actually Lie? 9 He {Did Not Lie} Yes {Lied} Positive test results 19 4|] Negative test results 33 11 The accompanying table displays results from experiments with polygraph instruments. a. Find P(subject told the truth | negative test result). b. Find P(negative test result | subject told the truth). c. Compare the results from parts a. and b. Are they equal? Click the icon to view the data table. a. P(subject told the truth | negative test result) =] (Round to three decimal places as needed.) b. Find the probability of selecting a subject with a negative test result, given that the subject told the truth. P(negative test result | subject told the truth) =] (Round to three decimal places as needed.) c. Compare the two values. Are they equal? O Yes O NoThe accompanying table contains the results from experiments with a polygraph instrument. Find the probabilities of the events in parts (a) and (b) below. Are these events unlikely? a. Four of the test subjects are randomly selected with replaceme nt, and they all had true negative test results. b. Four of the test subjects are randomly selected without replacement, and they all had true neg alive test results. a Click on the icon to view the data table. a. The probability that all tourtest subjects had a tme negative test result when they are randomly seleded with replacement is D. (Round to three decimal places as needed.) ls such an event unlikely? O A. No, because the probability of the event is greater than 0.05. O B. No, because the probability of the event is less than 0.05. O C. Yes, because the probability of the event is greater than 0.05. O D. Yes, because the probability of the event is less than 0.05. b. The probability that all tourtest subjects had a true negative test result when they are randomly selected without replacement is :|. (Round to three decimal places as needed.) ls such an event unlikely? O A. No, because the probability of the event is less than 0.05. O B. Yes, because the probability of the event is less than 0.05. O C. No, because the probability of the event is greater than 0.05. O D. Yes, because the probability of the event is greater than 0.05. The table below summarizes results from a study of people who refused to answer survey questions. A market researcher is not interested in refusals or subjects below 22 years of age or over 59. Find the probability that the selected person refused to answer or is below 22 or is older than 59. Age 18-21 22-29 30-39 10-49 50-59 60 and over Responded 253 243 134 136 200 Refused 14 23 36 29 38 60 The probability that a randomly selected person refused to answer the survey question or is below 22 or is older than 59 is (Do not round until the final answer. Then round to three decimal places as needed.)The table below summarizes results from a study of people who refused to answer survey questions. A pharmaceutical company is interested in opinions of the elderly. What is the probability that the selected subject is someone 60 and over who responded? Age 18-21 22-29 30-39 40-49 50-59 60 and over Responded 80 262 252 143 145 209 Refused 15 24 37 30 39 61 The probability that the selected subject is someone 60 and over who responded is. (Round to three decimal places as needed.)