A particular diagnostic test performs such that when an individual has the disease, a positive result will occur 97.1%, whereas an individual without the disease will show a positive result 2.0% of the time. The prevalence of infected persons in the general population is known to be 1 in 1500. An epidemiological study has identified that the probability of an infected person transmitting the disease to a close contact is 4.7% for contacts with no pre-existing health conditions, and 10.7% for contacts with pre-existing health conditions. i. What is the probability that an individual actually has the disease, if they have been tested and the result is positive? Show your reasoning. ii. In a family home with 10 relatives, what is the likelihood that a specific family member with pre-existing conditions contracts the disease by direct contact with another family member? Show your reasoning.

A particular diagnostic test performs such that when an individual has the disease, a positive result will occur 97.1%, whereas an individual without the disease will show a positive result 2.0% of the time. The prevalence of infected persons in the general population is known to be 1 in 1500. An epidemiological study has identified that the probability of an infected person transmitting the disease to a close contact is 4.7% for contacts with no pre-existing health conditions, and 10.7% for contacts with pre-existing health conditions. i. What is the probability that an individual actually has the disease, if they have been tested and the result is positive? Show your reasoning. ii. In a family home with 10 relatives, what is the likelihood that a specific family member with pre-existing conditions contracts the disease by direct contact with another family member? Show your reasoning.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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