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Answer:
The required probability is 0.6053
Step-by-step explanation:
Consider the provided information.
Among 148 subjects with positive test results, there are 28 false positive results.
That means the true positive results are: 148-28=120
Among 156 negative results, there are 4 false negative results.
That means the positive results are 156-4=152
Positive Negative Total
Use marijuana F negative 120 4 124
Not use marijuana F positive 28 152 180
Total 148 156 304
The probability that the subject tested negative or did not use marijuana.
P(Negative∪ not use marijuana)=[P(Negative)+P(Not use marijuana)-P(negative ∩ not use marijuana)]
P(Negative∪ not use marijuana) = [tex]\frac{156}{304} +\frac{180}{304} -\frac{152}{304}[/tex]
P(Negative∪ not use marijuana) = [tex]\frac{156+180-152}{304}[/tex]
P(Negative∪ not use marijuana) = [tex]\frac{184}{304}[/tex]
P(Negative∪ not use marijuana) ≈ [tex]0.6053[/tex]
Hence, the required probability is 0.6053
Answer:
The probability that the subject tested negative or did not use marijuana is
0.6053.
Explanation:
Positive results [tex]= 148[/tex] subjects
False positive results [tex]= 28[/tex]
True positive results [tex]=148-28[/tex] [tex]=120[/tex]
Negative results [tex]=156[/tex] subjects
False negative results [tex]=4[/tex]
True negative results [tex]=156-4=152[/tex]
Positive Negative Total
Use marijuana F negative 120 4 124
Not use marijuana F positive 28 152 180
Total 148 156 304
The probability that the subject tested negative or did not use marijuana.
P(Negative ∪ not use marijuana)= [P(Negative)+P(not use marijuana)- P(Negative ∩ not use marijuana)
[tex]=$\frac{156}{304}+\frac{180}{304}-\frac{152}{304}$[/tex]
[tex]=\frac{184}{304}[/tex]
≈ [tex]0.6053[/tex]
The required probability is 0.6053
Learn more about Probability, refer:
- https://brainly.com/question/12594357
