Conditional Probability. On September 3", 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 1027 tel: 440 60-79 8139 1785 80+ 1593 157 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 a. Using overall 12+ population data as the base, find the joint probabilities of the hospitalized 12-39 age group for the three categories: not-vaccinated, partially vaccinated, fully vaccinated. [Example: what is the probability of being 12-39 AND hospitalized AND not-vaccinated?]

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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
Complete Vaccination
11097
Sars-Cov-2
Not Vaccinated
One-Dose Vaccine
12-39
69504
12217
40-59
28701
4766
14601
60-79
8139
1785
1027
tel:
440
80+
1593
157
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
5
2
40-59
249
8
19
60-79
286
15
66
80+
44
3
40
Deceased
Not Vaccinated
One-Dose Vaccine
Complete Vaccination
12-39
4
40-59
56
8
60-79
164
18
40
80+
159
13
139
Source: Italian National Institute of Health, September 3, 2021
a. Using overall 12+ population data as the base, find the joint probabilities of the
hospitalized 12-39 age group for the three categories: not-vaccinated, partially
vaccinated, fully vaccinated. [Example: what is the probability of being 12-39
AND hospitalized AND not-vaccinated?]
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 Complete Vaccination 11097 Sars-Cov-2 Not Vaccinated One-Dose Vaccine 12-39 69504 12217 40-59 28701 4766 14601 60-79 8139 1785 1027 tel: 440 80+ 1593 157 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 5 2 40-59 249 8 19 60-79 286 15 66 80+ 44 3 40 Deceased Not Vaccinated One-Dose Vaccine Complete Vaccination 12-39 4 40-59 56 8 60-79 164 18 40 80+ 159 13 139 Source: Italian National Institute of Health, September 3, 2021 a. Using overall 12+ population data as the base, find the joint probabilities of the hospitalized 12-39 age group for the three categories: not-vaccinated, partially vaccinated, fully vaccinated. [Example: what is the probability of being 12-39 AND hospitalized AND not-vaccinated?]
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