In a poll, 500 individuals of different ages were asked to specify if they are in favour of a newly proposed law. The poll results, categorized by age group, are displayed in the following table: In Favour? \ Age Group Yes No Unsure 16-39 98 43 32 ii. iii. 40-59 72 75 19 Find the probability that an individual picked at random: is older than 39 and is in favour of the proposed law; i. is against the proposed law given that they fall in the age group 40-59; falls in the age groups below 60 years given that they are unsure. 60+ 56 84 21
In a poll, 500 individuals of different ages were asked to specify if they are in favour of a newly proposed law. The poll results, categorized by age group, are displayed in the following table: In Favour? \ Age Group Yes No Unsure 16-39 98 43 32 ii. iii. 40-59 72 75 19 Find the probability that an individual picked at random: is older than 39 and is in favour of the proposed law; i. is against the proposed law given that they fall in the age group 40-59; falls in the age groups below 60 years given that they are unsure. 60+ 56 84 21
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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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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Question
![c. In a poll, 500 individuals of different ages were asked to specify if they are in favour of a
newly proposed law. The poll results, categorized by age group, are displayed in the
following table:
In Favour? \ Age Group
Yes
No
Unsure
16-39
98
43
32
40-59
72
75
19
Find the probability that an individual picked at random:
is older than 39 and is in favour of the proposed law;
i.
ii.
is against the proposed law given that they fall in the age group 40-59;
iii. falls in the age groups below 60 years given that they are unsure.
60+
56
84
21](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2261535-b22f-4f2a-9f40-f811197d27df%2Ff5ce2142-e649-4579-9f91-b68ccb40c8ff%2Fl6vuant_processed.jpeg&w=3840&q=75)
Transcribed Image Text:c. In a poll, 500 individuals of different ages were asked to specify if they are in favour of a
newly proposed law. The poll results, categorized by age group, are displayed in the
following table:
In Favour? \ Age Group
Yes
No
Unsure
16-39
98
43
32
40-59
72
75
19
Find the probability that an individual picked at random:
is older than 39 and is in favour of the proposed law;
i.
ii.
is against the proposed law given that they fall in the age group 40-59;
iii. falls in the age groups below 60 years given that they are unsure.
60+
56
84
21
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
Step 1
The total number of individuals is
The table is displayed as follows:
In favour?\Age group | 16-39 | 40-59 | 60+ | Total |
Yes | 98 | 72 | 56 | 226 |
No | 43 | 75 | 84 | 202 |
Unsure | 32 | 19 | 21 | 72 |
Total | 173 | 166 | 161 | N = 500 |
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