The following joint frequency distribution table shows responses from a sample of 203 unionized employees on how their union president handled a recent labour action. Employees were categorized by age group and by their level of approval. Age Group under 25 25 to 40 over 40 Total Approve 17 25 31 73 Disapprove 22 21 35 78 Indifferent 27 5 20 52 Total 66 51 86 203 Report answers accurate to at least 4 decimal places. 1. What is the probability that a randomly selected employee: a) was not indifferent? b) was in the 25 to 40 age group and was indifferent? c) was not in the 25 to 40 age group and was indifferent? d) was in the 25 to 40 age group or was indifferent? e) was not in the 25 to 40 age group or was indifferent? f) was not 25 to 40 and was not indifferent?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 64E
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The following joint frequency distribution table shows responses from a sample of 203 unionized employees on how their union president handled a recent labour action. Employees were categorized by age group and by their level of approval.

The following joint frequency distribution table shows responses from a sample of 203 unionized employees
on how their union president handled a recent labour action. Employees were categorized by age group and
by their level of approval.
Age Group
under 25
25 to 40
over 40
Total
Approve
17
25
31
73
Disapprove
22
21
35
78
Indifferent
27
5
20
52
Report answers accurate to at least 4 decimal places.
1. What is the probability that a randomly selected employee:
a) disapproved?
b) was not indifferent?
Total
66
51
86
203
a) was not indifferent?
b) was in the 25 to 40 age group and was indifferent?
c) was not in the 25 to 40 age group and was indifferent?
d) was in the 25 to 40 age group or was indifferent?
e) was not in the 25 to 40 age group or was indifferent?
f) was not 25 to 40 and was not indifferent?
2. Given that an employee was in the over 40 age group, what is the probability that the employee
a) was indifferent?
b) did not disapprove?
3. What is the probability of selecting an employee that was in the 25 to 40 age group from a group of
employees that
Transcribed Image Text:The following joint frequency distribution table shows responses from a sample of 203 unionized employees on how their union president handled a recent labour action. Employees were categorized by age group and by their level of approval. Age Group under 25 25 to 40 over 40 Total Approve 17 25 31 73 Disapprove 22 21 35 78 Indifferent 27 5 20 52 Report answers accurate to at least 4 decimal places. 1. What is the probability that a randomly selected employee: a) disapproved? b) was not indifferent? Total 66 51 86 203 a) was not indifferent? b) was in the 25 to 40 age group and was indifferent? c) was not in the 25 to 40 age group and was indifferent? d) was in the 25 to 40 age group or was indifferent? e) was not in the 25 to 40 age group or was indifferent? f) was not 25 to 40 and was not indifferent? 2. Given that an employee was in the over 40 age group, what is the probability that the employee a) was indifferent? b) did not disapprove? 3. What is the probability of selecting an employee that was in the 25 to 40 age group from a group of employees that
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