Problem 2 (30). You have created a new machine to catch liars (L), and wish to sell it to interrogators. Unfortunately, the government did not trust you to do your own testing, but the agency that tested the contraption informed you that out of 80 individuals tested, 40 of which were told to lie, the machine was able to correctly identify 30. You were further told that the results suggested the probability of correctly identifying a truth-teller (TT) is 0.60.

Create data and probability tables in the format below

Count Machine Conclusion Total TT L TT Actual L Total 1000