Question: 12.29 False positives in testing for HIV. A rapid test for the presence in the blood of antibodies to HIV, the virus that causes AIDS,

12.29 False positives in testing for HIV. A rapid test for the presence in the blood of antibodies to HIV, the virus that causes AIDS, gives a positive result with probability about 0.004 when a person who is free of HIV antibodies is tested. A clinic tests 1000 people who are all free of HIV antibodies.

(a) What is the distribution of the number of positive tests?

(b) What is the mean number of positive tests?

(c) You cannot safely use the Normal approximation for this distribution. Explain why.

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Essential Statistics Questions!

14.32 False positives in testing for HIV. A rapid test for the presence in the blood of antibodies to HIV, the virus that causes AIDS, gives a positive result with probability about 0.004 when a...

False positives in testing for HIV. A rapid test for the presence in the blood of antibodies to HIV, the virus that causes AIDS, gives a positive result with probability about 0.004 when a person who...

13.22. The conditional probability that the student is enrolled in a two-year college, given that the student is a male, is about? Exercise 13.30. You win jackpot if all three-wheel show cherries....

Use excel to complete the calculation, then insert answers in a word document. This can also be done by hand. 5.99 Leaking gas tanks. Leakage from underground gasoline tanks at service stations can...

Testing for HIV. Enzyme immunoassay (EIA) tests are used to screen blood specimens for the presence of antibodies to HIV, the virus that causes AIDS. Antibodies indicate the presence of the virus....

Screening Exercise 1 A screening test for a newly discovered disease is being evaluated for its effectiveness and sensitivity as a screening test in industry. In order to determine the effectiveness...

The test for screening donated blood for the presence of the AIDS virus is designed to detect antibodies; however is not 100% accurate. It is claimed that the test would produce fewer than 5% false...

antibodies to HIV, the virus that causes AIDS. Anti- bodies indicate the presence of the virus. The test is quite accurate but is not always correct. A false positive occurs when the test gives a...

The line r +y = 1meets the lines represented by the equation y3 ry 14a?y +24a = 0 at the points A, B and C. The value of OA? + OB? + OC? =. the origin) - (O' being 3.06 Backspace 7 8 9 4 5 6 2 3

(1) Prepare journal entries to record the following transactions of a newly setup company during the current year: 1 Jan Purchased an existing factory building with the surrounding land for...

Your firm is contemplating the purchase of a new $ 4 8 5 , 0 0 0 computer - based order entry system. The systern will be depreciated straight - line to zero over its 7 - year life. It will be worth...

What do you think is your strongest component of cultural intelligence? Your weakest? How would you go about shoring up your weaknesses?