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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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