It is assumed that 1% of Canadian females above the age of 60 have a certain cancer. A simple test has false negative rate at 2% and false positive rate at 0.5%. That is, given that a a woman does not have cancer, the probability that the test is positive (suggests cancer) is 0.5%. This is referred to as a false positive. On the other hand if the woman does have cancer, it is not detected by the test about 2% of the time (this is called a false negative). For each of the following questions, define the events required for the calculation and find the probability. (a) Find the probability that the test result for a randomly selected Canadian female above the age of 60 tests positive. (b) If the test result is positive, what's the probability that the person has cancer? (c) If the test result is negative, what's the probability that the person does not have cancer?
It is assumed that 1% of Canadian females above the age of 60 have a certain cancer. A simple test has false negative rate at 2% and false positive rate at 0.5%. That is, given that a a woman does not have cancer, the probability that the test is positive (suggests cancer) is 0.5%. This is referred to as a false positive. On the other hand if the woman does have cancer, it is not detected by the test about 2% of the time (this is called a false negative). For each of the following questions, define the events required for the calculation and find the probability. (a) Find the probability that the test result for a randomly selected Canadian female above the age of 60 tests positive. (b) If the test result is positive, what's the probability that the person has cancer? (c) If the test result is negative, what's the probability that the person does not have cancer?
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...
Related questions
Question
Kindly do whole question Correctly
Needed to be solved all parts correctly in the order to get positive feedback
Please do 100 percent correct take your time
By hand solution needed
Thank
Transcribed Image Text:It is assumed that 1% of Canadian females above the age of 60 have a certain cancer. A simple test
has false negative rate at 2% and false positive rate at 0.5%. That is, given that a a woman does not
have cancer, the probability that the test is positive (suggests cancer) is 0.5%. This is referred to as a
false positive. On the other hand if the woman does have cancer, it is not detected by the test about
2% of the time (this is called a false negative). For each of the following questions, define the events
required for the calculation and find the probability.
(a) Find the probability that the test result for a randomly selected Canadian female above the age
of 60 tests positive.
(b) If the test result is positive, what's the probability that the person has cancer?
(c) If the test result is negative, what's the probability that the person does not have cancer?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps with 4 images
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON