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Question 2 This year the employees of a firm either received no pay rise, a small pay rise or a large pay rise. The following table shows the number in each category, classified by whether they were weekly paid or monthly paid. Small Large pay rise pay rise pay rise No Weekly paid 25 85 Monthly paid 4. 23 A tax inspector decides to investigate the tax affairs of an employee selected at random. Led D be the event that a weekly paid employee is selected and E be the event that an employee who received no pay rise is selected. Find the following probabilities: (i) P(D) (ii) P(D U E) Let F be the event that an employee is female. (iv)Given that P(F) = 0.8, find the number of female employees. (v) Interpret P(D|F) in the context of this question. (vi)Given that P(D n F) = 0.1, find P(D|F). %3D

Question 2 This year the employees of a firm either received no pay rise, a small pay rise or a large pay rise. The following table shows the number in each category, classified by whether they were weekly paid or monthly paid. Small Large pay rise pay rise pay rise No Weekly paid 25 85 Monthly paid 4. 23 A tax inspector decides to investigate the tax affairs of an employee selected at random. Led D be the event that a weekly paid employee is selected and E be the event that an employee who received no pay rise is selected. Find the following probabilities: (i) P(D) (ii) P(D U E) Let F be the event that an employee is female. (iv)Given that P(F) = 0.8, find the number of female employees. (v) Interpret P(D|F) in the context of this question. (vi)Given that P(D n F) = 0.1, find P(D|F). %3D

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 43E
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Question 2 This year the employees of a firm either received no pay rise, a small pay rise or a large pay rise. The following table shows the number in each category, classified by whether they were weekly paid or monthly paid. Large pay rise pay rise pay rise No Small Weekly paid 25 85 5 Monthly paid 4 8 23 A tax inspector decides to investigate the tax affairs of an employee selected at random. Led D be the event that a weekly paid employee is selected and E be the event that an employee who received no pay rise is selected. Find the following probabilities: (i) P(D) (ii) P(D U E) (ii)P(Dn E) Let F be the event that an employee is female. (iv)Given that P(F) = 0.8, find the number of female employees. (v) Interpret P(D|F) in the context of this question. (vi)Given that P(D n F) = 0.1, find P(D|F).
Transcribed Image Text:Question 2 This year the employees of a firm either received no pay rise, a small pay rise or a large pay rise. The following table shows the number in each category, classified by whether they were weekly paid or monthly paid. Large pay rise pay rise pay rise No Small Weekly paid 25 85 5 Monthly paid 4 8 23 A tax inspector decides to investigate the tax affairs of an employee selected at random. Led D be the event that a weekly paid employee is selected and E be the event that an employee who received no pay rise is selected. Find the following probabilities: (i) P(D) (ii) P(D U E) (ii)P(Dn E) Let F be the event that an employee is female. (iv)Given that P(F) = 0.8, find the number of female employees. (v) Interpret P(D|F) in the context of this question. (vi)Given that P(D n F) = 0.1, find P(D|F).
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