that the test result is dirty TC= event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean a) Using the information in the quote, compute the following values. (i) P(TD|D) 0.99 (ii) P(TDIC) 0.01 (iii) P(C) 0.99 (iv) P(D) 0.01 (b) Use the probabilities from part (a) to construct a hypothetical 1,000 table. (Round your answers to the nearest integer.) D C Total TD X 0.01 X TC X c) What is the value of P(TD) based on the table values? Total 1,000 (d) Use the information in the table to calculate the probability that a person is clean given that the test result is dirty, P(C|TD).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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TD= event that the test result is dirty
TC event that the test result is clean
D = event that the person tested is actually dirty
C = event that the person tested is actually clean
(a) Using the information in the quote, compute the following values.
(1) P(TD|D)
0.99
(ii) P(TDIC)
0.01
(iii) P(C)
0.99
(iv) P(D)
0.01
(b) Use the probabilities from part (a) to construct a hypothetical 1,000 table. (Round your answers to the nearest integer.)
D
C
Total
TD
X 0.01
X
TC
X
(c) What is the value of P(TD) based on the table values?
Total
1,000
(d) Use the information in the table to calculate the probability that a person is clean given that the test result is dirty, P(CITD).
Transcribed Image Text:TD= event that the test result is dirty TC event that the test result is clean D = event that the person tested is actually dirty C = event that the person tested is actually clean (a) Using the information in the quote, compute the following values. (1) P(TD|D) 0.99 (ii) P(TDIC) 0.01 (iii) P(C) 0.99 (iv) P(D) 0.01 (b) Use the probabilities from part (a) to construct a hypothetical 1,000 table. (Round your answers to the nearest integer.) D C Total TD X 0.01 X TC X (c) What is the value of P(TD) based on the table values? Total 1,000 (d) Use the information in the table to calculate the probability that a person is clean given that the test result is dirty, P(CITD).
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