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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 80E
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oter 3(1) Saved to this PC ✓ ayout 72 Font References Mailings V A A Aa A x²A A V s: On Review View Help 16-16-16- Accessibility: Investigate e. Find P(A) Paragraph d. Find P(ANB). = Search ET V Sex Search V Male (M) Female (F) Total 17 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. 0-5 (A) 25 30 55 4+ Normal 19 Years Employed 6-10 (B) 20 25 45 6. For two events, A and B, P(A) = .6, P(B) = .8, and P(A | B) = .5. Find P(A n B). a No Spacing 11-20 (C) >20 (D) hp 15 10 25 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). 110 5 0 5 Heading 1 ? f11 Styles Total 65 65 130 Heading 2 $12 ✈ prt sc Focus A hbuqaj12@gmail.c Title BB delete Cor 5 home
Transcribed Image Text:oter 3(1) Saved to this PC ✓ ayout 72 Font References Mailings V A A Aa A x²A A V s: On Review View Help 16-16-16- Accessibility: Investigate e. Find P(A) Paragraph d. Find P(ANB). = Search ET V Sex Search V Male (M) Female (F) Total 17 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. 0-5 (A) 25 30 55 4+ Normal 19 Years Employed 6-10 (B) 20 25 45 6. For two events, A and B, P(A) = .6, P(B) = .8, and P(A | B) = .5. Find P(A n B). a No Spacing 11-20 (C) >20 (D) hp 15 10 25 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). 110 5 0 5 Heading 1 ? f11 Styles Total 65 65 130 Heading 2 $12 ✈ prt sc Focus A hbuqaj12@gmail.c Title BB delete Cor 5 home
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