4. A medium-sized company characterized their employees based on the sex of the employee and their length of service to the company-identified as groups A, B, C, and D. The results are summarized in the table below. Sex C. Male (M) Female (F) Total 0-5 (A) 25 30 55 Years Employed 6-10 (B) 20 25 45 11-20 (C) 15 10 25 >20 (D) Total 5 65 0 65 5 130 a. Suppose an employee has been randomly selected from this company. Given that the employee is male, find the probability that they have worked for the company for more than 10 years? b. Suppose an employee has been randomly selected from this company. Given that the employee is female, find the probability that they have worked for the company for more than 20 years? Calculate each of the following probabilities: P(F) P(B) = P(CUM) = P(Cn M) = Are the events A and B independent? Are they mutually exclusive? Explain both of your answers.
4. A medium-sized company characterized their employees based on the sex of the employee and their length of service to the company-identified as groups A, B, C, and D. The results are summarized in the table below. Sex C. Male (M) Female (F) Total 0-5 (A) 25 30 55 Years Employed 6-10 (B) 20 25 45 11-20 (C) 15 10 25 >20 (D) Total 5 65 0 65 5 130 a. Suppose an employee has been randomly selected from this company. Given that the employee is male, find the probability that they have worked for the company for more than 10 years? b. Suppose an employee has been randomly selected from this company. Given that the employee is female, find the probability that they have worked for the company for more than 20 years? Calculate each of the following probabilities: P(F) P(B) = P(CUM) = P(Cn M) = Are the events A and B independent? Are they mutually exclusive? Explain both of your answers.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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4. A medium-sized company characterized their employees based on the sex of the employee and their length of
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0-5 (A)
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a. Suppose an employee has been randomly selected from this company. Given that the employee is male,
find the probability that they have worked for the company for more than 10 years?
b. Suppose an employee has been randomly selected from this company. Given that the employee is female,
find the probability that they have worked for the company for more than 20 years?
c.
Calculate each of the following probabilities:
P(F)
P(B) =
P(CUM) =
P(COM) =
Are the events A and B independent? Are they mutually exclusive? Explain both of your answers.
5. For two events, A and B, P(A) = ½, P(B) = 1/3, P(An B) = %4. Find P(B | A).
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