A microbiologist wants to better understand how a new vaccine can help patients develop immunity against an infectious disease. For this, s/he needs 3 patients who have successfully developed immunity with the help of the new vaccine and therefore starts vaccinating a group of voluntary patients one-by-one until s/he reaches the required 3 immune patients. It is found that there is 1/3 probability that a vaccinated patient will develop immunity. The probability that the microbiologist will need to vaccinate 8 voluntary patients is (Round to four decimal places, including any zeros.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A microbiologist wants to better understand how a new vaccine can help patients develop immunity against an infectious disease.
For this, s/he needs 3 patients who have successfully developed immunity with the help of the new vaccine and therefore starts
vaccinating a group of voluntary patients one-by-one until s/he reaches the required 3 immune patients. It is found that there is
1/3 probability that a vaccinated patient will develop immunity.
The probability that the microbiologist will need to vaccinate 8 voluntary patients is
(Round to four decimal places, including any zeros.)
Enter your answer in the answer box.
25
Transcribed Image Text:A microbiologist wants to better understand how a new vaccine can help patients develop immunity against an infectious disease. For this, s/he needs 3 patients who have successfully developed immunity with the help of the new vaccine and therefore starts vaccinating a group of voluntary patients one-by-one until s/he reaches the required 3 immune patients. It is found that there is 1/3 probability that a vaccinated patient will develop immunity. The probability that the microbiologist will need to vaccinate 8 voluntary patients is (Round to four decimal places, including any zeros.) Enter your answer in the answer box. 25
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