Results from a marijuana drug test study showed 143 subjects with positive test results including 24 false positive results. There were 157 negative​ results, including 3 false negative results. What is the probability that a randomly selected subject did not use​ marijuana? Round to three decimal places as needed.

Respuesta :

Answer:

0.5933

Step-by-step explanation:

Given that results from a marijuana drug test study showed 143 subjects with positive test results including 24 false positive results. There were 157 negative​ results, including 3 false negative results.

This can be tabulated as follows:

           Used Marijuana     Not used Marijuana     Total

Results

Positive       143-24 =119           24                           143

Negative          3                      154                           157

Total               122                    178                           300

We have to find that probability that a randomly selected subject did not use​ marijuana

Required prob = total people not used/total people

= [tex]\frac{178}{300} \\=0.5933[/tex]

The probability that a randomly selected subject did not use​ marijuana is 0.09.

It is given that

Total subjects to be tested = 143+157 = 300

Number of genuine positive test results = 143-24 = 119

Number of genuine negative results = 157-3 = 154

Total number of false (positive + negative) results = 24+3 =27

As we know that false results are the ones that didn't use marijuana.

What is probability?

It is all about describing possibilities in numbers.

So, the probability that a randomly selected subject did not use​ marijuana will be =number of false results/ total subjects =  [tex]\frac{27}{300} = 0.09[/tex]

Therefore, the probability that a randomly selected subject did not use​ marijuana is 0.09.

To get more about probability visit:

https://brainly.com/question/24756209