please show work! 32. neuroblastoma is a rare, serious, but treatable disease. a
ID: 2953635 • Letter: P
Question
please show work!32. neuroblastoma is a rare, serious, but treatable disease. aurine test, the vanilly mandelic acid test, has been developed thatgives a positive diagnosis in about 70% of casesof neuroblastoma. It has been proposed that this test be usedfor large-scale screening of children. Assume that 300,000 childrenare to be tested, of whom 8 have the disease. we are interested inwhether or not the test detects the disease in the 8 children whohave the disease. find the probability that
(a)all 8 cases will be detected (b) only 1 case will be missed (c) 2 or more cases will be missed [hint: use parts (a) &(b) to answer part (c)]
32. neuroblastoma is a rare, serious, but treatable disease. aurine test, the vanilly mandelic acid test, has been developed thatgives a positive diagnosis in about 70% of casesof neuroblastoma. It has been proposed that this test be usedfor large-scale screening of children. Assume that 300,000 childrenare to be tested, of whom 8 have the disease. we are interested inwhether or not the test detects the disease in the 8 children whohave the disease. find the probability that
(a)all 8 cases will be detected (b) only 1 case will be missed (c) 2 or more cases will be missed [hint: use parts (a) &(b) to answer part (c)]
Explanation / Answer
binomdist with n = 8, p = 0.7, q = 0.3
P(7) = C(8,7) * 0.7^7 * 0.3^1 = 0.19765032
P(8) = C(8,8) * 0.7^8 * 0.3^0 = 0.05764801
(a) 0.05765
(b) 0.19765
(c) 1 - (0.05765 + 0.19765) = 0.7447
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