Q4 In this question, the real numbers in your answers should be given with three significant digits of accuracy after the decimal point. The public health authorities of a small town have divided the population into three categories: covid-negative, covid-positive, and hospitalised. After performing regular, extensive tests, they have observed that in each successive week: Among those who are negative, 95% remain so, 4% become positive, and 1% need to be hospitalised. Among those who are positive, 75% recover and become negative, 20% stay positive, and 5% need to be hospitalised. Among those who are hospitalised, 60% recover and become negative, 30% are released from hospital but remain positive, and 10% remain hospitalised.

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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(a) After representing the population in a given week as a column
vector v =
[n; p; h], where n, p, and h represent the number of
people in the population who are negative, positive, and
hospitalised respectively, write down a matrix M for which
[n', p', h'] = M[n; p; h], where [n', p' , h'] represents the
column vector of negative, positive, and hospitalised members of
the population in the following week.
Transcribed Image Text:(a) After representing the population in a given week as a column vector v = [n; p; h], where n, p, and h represent the number of people in the population who are negative, positive, and hospitalised respectively, write down a matrix M for which [n', p', h'] = M[n; p; h], where [n', p' , h'] represents the column vector of negative, positive, and hospitalised members of the population in the following week.
Q4
In this question, the real numbers in your answers should be given
with three significant digits of accuracy after the decimal point.
The public health authorities of a small town have divided the
population into three categories: covid-negative, covid-positive,
and hospitalised. After performing regular, extensive tests, they
have observed that in each successive week:
Among those who are negative, 95% remain so, 4% become
positive, and 1% need to be hospitalised.
Among those who are positive, 75% recover and become
negative, 20% stay positive, and 5% need to be hospitalised.
Among those who are hospitalised, 60% recover and become
negative, 30% are released from hospital but remain positive,
and 10% remain hospitalised.
Transcribed Image Text:Q4 In this question, the real numbers in your answers should be given with three significant digits of accuracy after the decimal point. The public health authorities of a small town have divided the population into three categories: covid-negative, covid-positive, and hospitalised. After performing regular, extensive tests, they have observed that in each successive week: Among those who are negative, 95% remain so, 4% become positive, and 1% need to be hospitalised. Among those who are positive, 75% recover and become negative, 20% stay positive, and 5% need to be hospitalised. Among those who are hospitalised, 60% recover and become negative, 30% are released from hospital but remain positive, and 10% remain hospitalised.
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