Answer:
The probability that an uses drugs given that the result was negative is 0.0224.
Step-by-step explanation:
Let's denote the events as follows:
<em>D</em> = an intern uses drugs.
<em>X</em> = the test result was positive.
The information provided is:
Compute the probability that the test result of an intern is positive as follows:
The probability that the test result of an intern is positive is <em>P (X) = 0.107</em>.
Compute the probability that the result is negative given that he/she uses drugs as follows:
Compute the probability that an uses drugs given that the result was negative as follows:
Thus, the probability that an uses drugs given that the result was negative is 0.0224.