1. You are a doctor testing a blood-born disease. You know that in the overall p

Question

1. You are a doctor testing a blood-born disease. You know that in the overall population, 2 out of 100 people have the disease. All those with the disease positives are accurately detected 99% of the time. You also know that the test returns a positive result for 5 out of 100 people tested who do not have the disease. What is the probability that a patient will test positive?

2. You have called your cell phone provider to discuss a discrepancy on your billing statement. Your call was received and placed on hold to "await the next available service representative". You are told that the average waiting time is 6 minutes. You have been waiting on hold for 4 minutes. How many more minutes do you anticipate you will have to wait before you speak to a service representative?

Explanation / Answer

1.

Let

P = positive
D = has disease

Hence,

P(P) = P(D) P(P|D) + P(D') P(P|D')

= (2/100)*0.99 + (1-2/100)*0.05

= 0.0688 [ANSWER]

*******************************************

Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.