6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% of employees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is known that those who use this type of drug have a 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive.a.) Define all 4 of the marginal eventsb.) With proper notation write out all of the given probabilitiesc.) Make a tree diagram of all probabilities in proper notation.d.) Fill out a probability cross tabulation.e.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug?f.) If the employee tests positive for a certain drug, what's the probability that the employee does NOT use the drug? Conditional Probability:6. Employers often require their employees to be subjected to random drug testing. Suppose that 5% ofemployees use a certain type of drug. Drug testing accuracy varies. From years of data collection it is knownthat those who use this type of drug have a 94% chance of testing positive. It is also known that 3% of non-drug users (of the certain type of drug) still test positive.a.) Define all 4 of the marginal eventsb.) With proper notation write out all of the given probabilitiesnotation.c.) Make a tree diagram of all probabilities in properd.) Fill out a probability cross tabulation.e.) If the employee tests positive for a certain drug, what's the probability that the employee uses the drug?f.) If the employee tests positive for a certain drug, what's the probability that the employee does NOT usethe drug?

Answered: a.) Define all 4 of the marginal events…

a.) Define all 4 of the marginal events b.) With proper notation write out all of the given probabilities c.) Make a tree diagram of all probabilities in proper notation.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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