(10 points) A test for a certain drug produces a false negative 3% of the time and a false positive 9% of the time. Suppose 12% of the employees at a certain company use the drug. If an employee at the company tests negative, what is the probability that he or she does use the drug

If an employee at the company tests negative, the probability that he or she does use the drug is P=0.58.

Step-by-step explanation:

We have this information:

proportion of drug users P(D)=0.12

false negatives FN=P(N|D)=0.03 --> True negatives P(N|ND)=0.97

false positives FP=P(P|ND)=0.09 --> True positives P(P|D)=0.91

where:

D: drug user

ND: no drug user

N: negative result

P: positive result

We have to calculate the probability that, given a positive teste, the person is a drug user.

Applying the Bayes theorem, we have:

.24

step-by-step explanation:

the probability is   .24

the first player had the highest probability of getting a silver marble

the game could be made fair by adding back the marble that was drawn after each draw

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.