QI In the table below, the distribution of employees in a business according to their gender and whether they are university graduates is given. Gender Male Female Total College graduate Not college graduate 20 Total 27 4 13 11 29 40 If one of the employees is randomly selected for the worker management council, what is the probability that the chosen one is a woman and a University (College) graduate? Solve this problem using the Venn diagram. a.Solve the problem using a tree diagram (flowchart). b. Construct the second solution with Venn diagram. c. Similarly, when the events "Male (M) and "Not graduated from university (N) are also taken into account, calculate the following probabilities using the table. P(Mn G), P(Mn N), P(F ON). (Note: For solution (F) for female, for university graduate(G) "Female (F) and "University graduate(G), not university graduate (N), Male (M) events will be recognized, and using other symbols will not be considered valid for the solution.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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In the table below, the distribution of employees in a business according to their gender and whether
they are university graduates is given.
QI
Gender
College graduate
Not college graduate
Total
Male
Female
7
20
27
4
9.
13
Total
11
29
40
If one of the employees is randomly selected for the worker management council, what is the
probability that the chosen one is a woman and a University (College) graduate? Solve this problem using the
Venn diagram.
a.Solve the problem using a tree diagram (flowchart).
b. Construct the second solution with Venn diagram.
c. Similarly, when the events "Male (M) and “Not graduated from university (N) are also taken into account,
calculate the following probabilities using the table.
P(Mn G), P(Mn N), P(F ON).
(Note: For solution (F) for female, for university graduate(G) "Female (F) and "University graduate(G), not
university graduate (N), Male (M) events will be recognized, and using other symbols will not be considered
valid for the solution.
Transcribed Image Text:In the table below, the distribution of employees in a business according to their gender and whether they are university graduates is given. QI Gender College graduate Not college graduate Total Male Female 7 20 27 4 9. 13 Total 11 29 40 If one of the employees is randomly selected for the worker management council, what is the probability that the chosen one is a woman and a University (College) graduate? Solve this problem using the Venn diagram. a.Solve the problem using a tree diagram (flowchart). b. Construct the second solution with Venn diagram. c. Similarly, when the events "Male (M) and “Not graduated from university (N) are also taken into account, calculate the following probabilities using the table. P(Mn G), P(Mn N), P(F ON). (Note: For solution (F) for female, for university graduate(G) "Female (F) and "University graduate(G), not university graduate (N), Male (M) events will be recognized, and using other symbols will not be considered valid for the solution.
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