To simplify the given readings let us make a table
Test\Actual | USE | DID NOT USE | TOTAL |
POSITIVE RESULT | 113 | 29 | 142 |
NEGATIVE RESULT | 2 | 150 | 152 |
TOTAL | 115 | 179 | 294 |
As total positive result were 142 and out of which 29 were false positive hence the actual positive were 142-29=113.
Similarly 2 were false negative and total were 152 hence 150 were true negative.
a) 294
The total number of subjects in study are 142+152=294.
b)179
As seen from the table it is quite clear that 179 people did not use marijuana.
c) 0.609
The probability that the randomly selected did not use marijuana is given by
=total subject who didn't use marijuana/Total number of subjects
=179/294=0.609.
Do comment if you have any doubt.
Thank you !!
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