I personally have used statistics in trying to challenge the reliability of drug testing results. Suppose the chance of a mistake in the taking and processing of a urine sample for a drug test is just 1 in100. And your client has a "dirty" (i.e., positive) test result. Only a 1 in 100 chance that it could be wrong? Not necessarily. If the vast majority of all tests given-say 99 in 100-are truly clean, thenyou get one false dirty and one true dirty in every 100 tests, so that half of the dirty tests are false.Define the following events as:TD =TC =D =event that the person tested is actually dirtyC = event that the person tested is actually clean(a) Using the information in the quote, find the values of each of the following.event that the test result is dirtyevent that the test result is clean(i) P(TD|D)(ii) P(TDIC)(iii) P(C)(iv) P(D)XX(b) Use the law of total probability to find P(TD).(c) Use Bayes' rule to evaluate P(C|TD).X

Answered: Image /qna-images/answer/c90fc3fd-ef48-41d4-8f2a-482a0819a795.jpg

Answered: (a) Using the information in the quote,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(a) Using the information in the quote, find the values of each of the following. (i) P(TDID) (ii) P(TDIC) (iii) P(C) (iv) P(D) X X (b) Use the law of total probability to find P(TD). X (c) Use Bayes' rule to evaluate P(CITD). x