A false-positive in a polygraph test, that is, an individual who fails a lying-detector test even though they are telling the truth, has a probability of 15 %. Consider the experiment of administering a lie-detector or polygraph test (these are synonyms or words that have the same meaning in common usage) to a group of randomly selected people and recording false-positives. i) What is the probability that the first false-positive will occur when the third person is tested? ii) What is the probability that fewer than 4 people are tested before the first false-positive occurs? iii) What is the probability that more than 3 people are tested before the first false-positive occurs? iv) What is the expected value of false-positives? v) What is the variance in this experiment?
A false-positive in a polygraph test, that is, an individual who fails a lying-detector test even though they are telling the truth, has a probability of 15 %. Consider the experiment of administering a lie-detector or polygraph test (these are synonyms or words that have the same meaning in common usage) to a group of randomly selected people and recording false-positives. i) What is the probability that the first false-positive will occur when the third person is tested? ii) What is the probability that fewer than 4 people are tested before the first false-positive occurs? iii) What is the probability that more than 3 people are tested before the first false-positive occurs? iv) What is the expected value of false-positives? v) What is the variance in this experiment?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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