(a) If Sally uses 3 test kits what is the probability that at least one will return a positive result? (b) In 3 tests, what is the expected number of positive results?  (c) Sally has gotten her hands on more effective tests, these ones have a 90% probability of returning a positive result for an infected person. If she tested herself twice with the new tests, how many positive results would she expect to see?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Sally has caught COVID but doesn’t know it yet. She is testing herself with rapid antigen kits which have an 80% probability of returning a positive result for an infected person. For the purpose of this question you can assume that the results of repeated tests are independent. (a) If Sally uses 3 test kits what is the probability that at least one will return a positive result? (b) In 3 tests, what is the expected number of positive results?  (c) Sally has gotten her hands on more effective tests, these ones have a 90% probability of returning a positive result for an infected person. If she tested herself twice with the new tests, how many positive results would she expect to see?

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