Use these results from the “1-Panel-THC” test for marijuana use, which is provid

Question

Use these results from the “1-Panel-THC” test for marijuana use, which is provided by the company Drug Test Success: Among 143 subjects with positive test results, there are 24 false positive results; among 157 negative results, there are 3 false negative results.

(d) If one of the test subjects is randomly selected, find the probability (in decimals) that the subject tested positive or used marijuana.

(e) If one of the test subjects is randomly selected, find the probability (in decimals) that the subject tested negative or did not use marijuana.

(f) If 2 of the subjects are randomly selected without replacement, what is the probability (in decimals) that they both had correct test results (either true positive or true negative)?

(g) If 3 of the subjects are randomly selected without replacement, what is the probability (in decimals) that they all had true negative test results?

Explanation / Answer

from above:

d)  probability (in decimals) that the subject tested positive or used marijuana =(143+3)/300=146/300=0.487

e)probability (in decimals) that the subject tested negative or did not use marijuana =(157+24)/300 =0.603

f) =(273/300)*(272/299)=0.828

g) =(27/300)*(26/299)*(25/298)=0.0006

positive negative Total used marijuana 119 3 122 not used marijuana 24 154 178 Total 143 157 300

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