Problem 10. A certain disease is transmitted during the act of kissing. Approximately of the population has this disease and people who have it either do not know they have it or never reveal that they do have it to a prospective partner/date. The likelihood of contracting this disease from someone who has it from one physical encounter is . 4 10 a. Suppose that you do not have the disease and that you do not know whether or not your partner has the disease. What is the probability that you contract the disease in fewer than or equal to four encounters with your one partner? b. Suppose that you have random encounters with 3 strangers (one encounter with each stranger) and you do not know whether or not the strangers have the disease. What is the probability that you have contracted the disease after your 3 encounters? c. Suppose that you are exposed to a large number of people, but you are exposed to each one only one time. What is the probability that you will contract the disease if the number is quite large, that is, what is your probability for contracting the disease as the number of encounters tends to infinity? d. Suppose that you are exposed to only one person but exposed a large number of times and do not know whether or not this person has the disease. What is the probability you that you will contract the disease if the number of exposures is quite large, that is, what is your probability for contracting the disease as the number of encounters with the one person tends to infinity? e. One person who has never before kissed and does not have the disease meets a random partner, marries this partner, and only kisses this partner for the rest of his/her life. Another person with the same history and health meets n random strangers and kisses each precisely once. This more promiscuous individual then meets a partner he/she likes who does not have the disease (the partner is tested) and then marries this partner and the two are forever monogamous. How large can n be for the more promiscuous individual to remain safer than the less promiscuous individual?

Problem 10. A certain disease is transmitted during the act of kissing. Approximately of the population has this disease and people who have it either do not know they have it or never reveal that they do have it to a prospective partner/date. The likelihood of contracting this disease from someone who has it from one physical encounter is . 4 10 a. Suppose that you do not have the disease and that you do not know whether or not your partner has the disease. What is the probability that you contract the disease in fewer than or equal to four encounters with your one partner? b. Suppose that you have random encounters with 3 strangers (one encounter with each stranger) and you do not know whether or not the strangers have the disease. What is the probability that you have contracted the disease after your 3 encounters? c. Suppose that you are exposed to a large number of people, but you are exposed to each one only one time. What is the probability that you will contract the disease if the number is quite large, that is, what is your probability for contracting the disease as the number of encounters tends to infinity? d. Suppose that you are exposed to only one person but exposed a large number of times and do not know whether or not this person has the disease. What is the probability you that you will contract the disease if the number of exposures is quite large, that is, what is your probability for contracting the disease as the number of encounters with the one person tends to infinity? e. One person who has never before kissed and does not have the disease meets a random partner, marries this partner, and only kisses this partner for the rest of his/her life. Another person with the same history and health meets n random strangers and kisses each precisely once. This more promiscuous individual then meets a partner he/she likes who does not have the disease (the partner is tested) and then marries this partner and the two are forever monogamous. How large can n be for the more promiscuous individual to remain safer than the less promiscuous individual?

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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