MATHEMATICAL ASSOCIATION OF AMERICA webwork spring18-math380 homework,5 7 Homewo
ID: 3059670 • Letter: M
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MATHEMATICAL ASSOCIATION OF AMERICA webwork spring18-math380 homework,5 7 Homework 5: Problem 7 Prev Up Next (1 pt) To determine whether or not they have a certain are to h people in groups of 10. The blood samples of the 10 people be pooled and on this group. Assume the probability that a person has the disease is 0.07 for all people, independently of each other Compute the expected number of tests necessary for each group. Expected number for each group: disease, 180 people are to have their blood tested. However, rather than testing each individual separately, t has been decided first to group the n each group will be pooled and analyzed together. If the test is negative. one test will suffice for the 10 people (we are assuming that the st one person in the pool has the disease); whereas, if the test is positive each of the 10 people will also be individually tested and, in all, 11 tests will be made Preview AnswersSubmit Answers You have attempted this problem 0 times. You have unlimited attempts remaining Email instructor Page generated at 03/092018 at 08.14pm EST WeBworKO 1996-2014 theme: misind 1 ww version 2.9 payersan. 2.9( The WeBWorK Project ork SprinExplanation / Answer
probability of 1 test for a group P(X=1)=P(none have disesase) =(0.93)10 =0.4840
hence probability of 11 test for a groupP(X=11) =1-0.4840=0.5160
therefore expected number of test for each group =6.16
(Note: expected total number of test should be 18*6.16 =110.88 ~ 111)
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