2. Suppose that you have a medical test which has a sensitivity of 80%. This means false negatives (a negative result on someone who has the disease) is 20%. You want to repeat the test a number of times (call this number n) and say that someone has the disease who tests positive m out of n times. Find a pair of small numbers m and n with m less than n so that the probability that an individual who has the disease tests positive m out of n times. Hint: the Bosox- Nosox problem.

2. Suppose that you have a medical test which has a sensitivity of 80%. This means false negatives (a negative result on someone who has the disease) is 20%. You want to repeat the test a number of times (call this number n) and say that someone has the disease who tests positive m out of n times. Find a pair of small numbers m and n with m less than n so that the probability that an individual who has the disease tests positive m out of n times. Hint: the Bosox- Nosox problem.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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