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Question 2 The contingency table shows whether someone has a disease and whether they tested positive or negative for the disease. Notice that very few people have the disease. This is a very common situation and it has interesting results. Has Disease Does not have Disease Column Toals Test positive 56 998 1054 Test negative 4 18942 18946 Row Totals 60 19940 20000

Question 2 The contingency table shows whether someone has a disease and whether they tested positive or negative for the disease. Notice that very few people have the disease. This is a very common situation and it has interesting results. Has Disease Does not have Disease Column Toals Test positive 56 998 1054 Test negative 4 18942 18946 Row Totals 60 19940 20000

A First Course in Probability (10th Edition)
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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Normal there in total? e the disease? No Spacing 't have the disease? ity someone has the disease. Heading Heading 2 Title Subtitle Styles words. D Has Disease Does not have Disease Column Toals SHARANAMS ity someone tests positive GIVEN they have the disease. Also, Probability that a randomly selected student has 3 to 7 siblings. Test positive 56 998 1054 Question 2 The contingency table shows whether someone has a disease and whether they tested positive or negative for the disease. Notice that very few people have the disease. This is a very common situation and it has interesting results. W 5 8 Test negative 4 eratt@gmail.com Subtle Emphasi: 18942 18946 KE 31 Row Totals 60 19940 20000 Comments Focus Editing Find E Replace Dictate Editor Select Editing Voice 18 ER Editor Share > 100% 9:47 PM 3/11/2023
Transcribed Image Text:Normal there in total? e the disease? No Spacing 't have the disease? ity someone has the disease. Heading Heading 2 Title Subtitle Styles words. D Has Disease Does not have Disease Column Toals SHARANAMS ity someone tests positive GIVEN they have the disease. Also, Probability that a randomly selected student has 3 to 7 siblings. Test positive 56 998 1054 Question 2 The contingency table shows whether someone has a disease and whether they tested positive or negative for the disease. Notice that very few people have the disease. This is a very common situation and it has interesting results. W 5 8 Test negative 4 eratt@gmail.com Subtle Emphasi: 18942 18946 KE 31 Row Totals 60 19940 20000 Comments Focus Editing Find E Replace Dictate Editor Select Editing Voice 18 ER Editor Share > 100% 9:47 PM 3/11/2023
View Help BET Paragraph - B - O Search Normal No Spacing Heading Heading 2 Title 3. How many people don't have the disease? 4. Compute the probability someone has the disease. 5. Compute the probability someone tests positive GIVEN they have the disease. Also, write the problem using the conditional probability notation P(A/B) Styles 6. Compute the probability someone tests negative GIVEN they do not have the disease. Also, write the problem using the conditional probability notation P(AIB) Now let's explore false positives and false negatives. False positives are people who test positive but do not have the disease. False negatives are people who test negative but actually. have the disease. 7. Compute the probability someone tests positive GIVEN they do not have the disease. Also, write the problem using the conditional probability notation P(A/B) 8. Compute the probability someone tests negative GIVEN they do have the disease. Also, write the problem using the conditional probability notation P(A/B) Finally let's explore the "rare disease paradox". 9. Compute the probability someone has the disease GIVEN they test positive. Also, write the problem using the conditional probability notation P(A/B) 10. Compute the probability someone does not have the disease GIVEN they test positive. Also, write the problem using the conditional probability notation P(A/B) 11. Do these last two probabilities surprise you? Write a sentence or two reacting to the "rare disease paradox". 19 B S
Transcribed Image Text:View Help BET Paragraph - B - O Search Normal No Spacing Heading Heading 2 Title 3. How many people don't have the disease? 4. Compute the probability someone has the disease. 5. Compute the probability someone tests positive GIVEN they have the disease. Also, write the problem using the conditional probability notation P(A/B) Styles 6. Compute the probability someone tests negative GIVEN they do not have the disease. Also, write the problem using the conditional probability notation P(AIB) Now let's explore false positives and false negatives. False positives are people who test positive but do not have the disease. False negatives are people who test negative but actually. have the disease. 7. Compute the probability someone tests positive GIVEN they do not have the disease. Also, write the problem using the conditional probability notation P(A/B) 8. Compute the probability someone tests negative GIVEN they do have the disease. Also, write the problem using the conditional probability notation P(A/B) Finally let's explore the "rare disease paradox". 9. Compute the probability someone has the disease GIVEN they test positive. Also, write the problem using the conditional probability notation P(A/B) 10. Compute the probability someone does not have the disease GIVEN they test positive. Also, write the problem using the conditional probability notation P(A/B) 11. Do these last two probabilities surprise you? Write a sentence or two reacting to the "rare disease paradox". 19 B S
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