Question 1 A store-bought pregnancy test produces a correct result 99% of the time when a woman is actually pregnant but is only 97% accurate when a woman is not pregnant. What are the chances of a false positive and a false negative respectively?

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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Question 1
A store-bought pregnancy test produces a
correct result 99% of the time when a woman
is actually
pregnant but is only 97% accurate when a
woman is not pregnant. What are the chances
of a false
positive and a false negative respectively?
Question 2
Assuming a woman has a 90% chance of
actually being pregnant when she takes the
test, and that she
takes TWO tests (requiring the same signal
from both tests to either confirm OR reject)
what is the
probability of she will get a "double positive"
result? Also, what is the probability of an
"uncertain"
result (one of each)?
Transcribed Image Text:Question 1 A store-bought pregnancy test produces a correct result 99% of the time when a woman is actually pregnant but is only 97% accurate when a woman is not pregnant. What are the chances of a false positive and a false negative respectively? Question 2 Assuming a woman has a 90% chance of actually being pregnant when she takes the test, and that she takes TWO tests (requiring the same signal from both tests to either confirm OR reject) what is the probability of she will get a "double positive" result? Also, what is the probability of an "uncertain" result (one of each)?
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