c. For the age group 40-59, what is the probability of ending up in Intensive Therapy for each of the three categories (not-vaccinated, partially vaccinated, fully vaccinated)? [Example: what is the probability of ending up in Intensive Therapy, conditional on being a 40-59 non-vaccinated?]

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...
icon
Related questions
Question

Hi. Please see attached. Thankyou!

Conditional Probability. On September 3rd, the Italian National Institute of Health
published the following table regarding the Covid-19 pandemic situation in Italy in the
previous month.
Population
Not Vaccinated
One-Dose Vaccine
Complete Vaccination
12-39
8165625
3447156
5822774
40-59
5263193
1734907
1149360
60-79
1926937
776230
10869612
80+
300892
107317
4145898
Diagnosed
Sars-Cov-2
Not Vaccinated
One-Dose Vaccine
Complete Vaccination
12-39
69504
12217
11097
40-59
28701
4766
14601
60-79
8139
1785
1027
80+
1593
157
440
Hospitalized
Not Vaccinated
One-Dose Vaccine
Complete Vaccination
12-39
1626
105
93
40-59
2235
130
213
60-79
1562
195
607
80+
565
50
875
Intensive
Therapy
Not Vaccinated
One-Dose Vaccine
Complete Vaccination
12-39
62
2
40-59
249
8
19
60-79
286
15
66
80+
44
40
Deceased
Not Vaccinated
One-Dose Vaccine
Complete Vaccination
12-39
4
40-59
56
6
8
60-79
164
18
40
80+
159
13
139
Source: Italian National Institute of Health, September 3, 2021
Transcribed Image Text:Conditional Probability. On September 3rd, the Italian National Institute of Health published the following table regarding the Covid-19 pandemic situation in Italy in the previous month. Population Not Vaccinated One-Dose Vaccine Complete Vaccination 12-39 8165625 3447156 5822774 40-59 5263193 1734907 1149360 60-79 1926937 776230 10869612 80+ 300892 107317 4145898 Diagnosed Sars-Cov-2 Not Vaccinated One-Dose Vaccine Complete Vaccination 12-39 69504 12217 11097 40-59 28701 4766 14601 60-79 8139 1785 1027 80+ 1593 157 440 Hospitalized Not Vaccinated One-Dose Vaccine Complete Vaccination 12-39 1626 105 93 40-59 2235 130 213 60-79 1562 195 607 80+ 565 50 875 Intensive Therapy Not Vaccinated One-Dose Vaccine Complete Vaccination 12-39 62 2 40-59 249 8 19 60-79 286 15 66 80+ 44 40 Deceased Not Vaccinated One-Dose Vaccine Complete Vaccination 12-39 4 40-59 56 6 8 60-79 164 18 40 80+ 159 13 139 Source: Italian National Institute of Health, September 3, 2021
c. For the age group 40-59, what is the probability of ending up in Intensive
Therapy for each of the three categories (not-vaccinated, partially vaccinated,
fully vaccinated)? [Example: what is the probability of ending up in Intensive
Therapy, conditional on being a 40-59 non-vaccinated?]
Transcribed Image Text:c. For the age group 40-59, what is the probability of ending up in Intensive Therapy for each of the three categories (not-vaccinated, partially vaccinated, fully vaccinated)? [Example: what is the probability of ending up in Intensive Therapy, conditional on being a 40-59 non-vaccinated?]
Expert Solution
Step 1

If the probability of getting selected for each outcome is equal then such outcomes can be termed as equally likely outcomes. For equally likely outcomes, the probability of favorable event can be given by dividing the number of favorable outcomes, with the total number of outcomes.
                                   Probability of favorable event=Number of favorable outcomesTotal number of outcomes

The conditional probability of happening of event A when event B already happened, can be expressed as, PAB

steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON