Q. 1 Suppose that 4.5% of all adults over 50 have cancer. A certair physician correctly diagnoses 94% of all adults over 50 with cance as having the disease and incorrectly diagnoses 4% of all adults ove 50 without cancer as having the disease. (i) Draw a tree diagram and label it with appropriate probabilities. (ii) Find the probability that a randomly-selected adult over 50 i diagnosed as not having cancer. (iii) Find the probability that a randomly-selected adult over 50 actually has cancer, given that he/she is diagnosed as not having cancer
Q. 1 Suppose that 4.5% of all adults over 50 have cancer. A certair physician correctly diagnoses 94% of all adults over 50 with cance as having the disease and incorrectly diagnoses 4% of all adults ove 50 without cancer as having the disease. (i) Draw a tree diagram and label it with appropriate probabilities. (ii) Find the probability that a randomly-selected adult over 50 i diagnosed as not having cancer. (iii) Find the probability that a randomly-selected adult over 50 actually has cancer, given that he/she is diagnosed as not having 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...
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![Q. 1 Suppose that 4.5% of all adults over 50 have cancer. A certain
physician correctly diagnoses 94% of all adults over 50 with cancer
as having the disease and incorrectly diagnoses 4% of all adults over
50 without cancer as having the disease.
(i) Draw a tree diagram and label it with appropriate probabilities.
(ii) Find the probability that a randomly-selected adult over 50 is
diagnosed as not having cancer.
(iii) Find the probability that a randomly-selected adult over 50
actually has cancer, given that he/she is diagnosed as not having
cancer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2bef75fb-2abd-4997-9b11-109bab3e09cb%2Fbecd50c2-12f2-4ace-be8e-b07df92fd654%2Fu8q2vni_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Q. 1 Suppose that 4.5% of all adults over 50 have cancer. A certain
physician correctly diagnoses 94% of all adults over 50 with cancer
as having the disease and incorrectly diagnoses 4% of all adults over
50 without cancer as having the disease.
(i) Draw a tree diagram and label it with appropriate probabilities.
(ii) Find the probability that a randomly-selected adult over 50 is
diagnosed as not having cancer.
(iii) Find the probability that a randomly-selected adult over 50
actually has cancer, given that he/she is diagnosed as not having
cancer.
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