4. Related to a job competency exam taken by employees: Of the employees, 24% were males who passed the exam; 36% were females who passed the exam; 16% were males who failed the exam; and 24% were females who failed the exam. Con- sider choosing an employee at random. Let A denote the event that the selected employee passed the exam and M denote the event that the selected employee was male. Are the events A and M independent? (Justify your answer mathe- matically.) What is P(ĀM)?
4. Related to a job competency exam taken by employees: Of the employees, 24% were males who passed the exam; 36% were females who passed the exam; 16% were males who failed the exam; and 24% were females who failed the exam. Con- sider choosing an employee at random. Let A denote the event that the selected employee passed the exam and M denote the event that the selected employee was male. Are the events A and M independent? (Justify your answer mathe- matically.) What is P(ĀM)?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:4. Related to a job competency exam taken by employees: Of the employees, 24%
were males who passed the exam; 36% were females who passed the exam; 16%
were males who failed the exam; and 24% were females who failed the exam. Con-
sider choosing an employee at random. Let A denote the event that the selected
employee passed the exam and M denote the event that the selected employee
was male. Are the events A and M independent? (Justify your answer mathe-
matically.) What is P(A|M)?
Expert Solution
Step 1
Given information:
Notation:
Let
M: Number of male employees.
F: Number of female employees
A: Employees who pass the exam
B: Employees who failed the exam.
So for the simplification make a table of the given information:
| Outcome | Male (M) | Female (F) | Total |
| Pass (A) | 24% | 36% | 60% |
| Failed (B) | 16% | 24% | 40% |
| Total | 40% | 60% | 100% |
Find:
1) Event A and M are independent or not.
2)
Definition:
Independence of two events:
Suppose event A and B are said to be independent if
That is,
P(A|B)=P(A) then event A and B are independent.
Step by step
Solved in 2 steps
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