Data about employment for males and females at Nyalikungu Maswa township are as shown in the table below: Unemployed Employed Male 206 412 Female 358 305 A person from this area is chosen at random. Let M be the event that the person is male and let E be the event that the person is employed (i) Find the probability of the person is male P(M) (ii) Find the probability of the person is male and is employed P(M and E) (ii) Are M and E independent events? Justify your answer

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 30E
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Question 5:
Data about employment for males and females at Nyalikungu Maswa township are as shown
in the table below:
Unemployed
Employed
Male
206
412
Female
358
305
A person from this area is chosen at random. Let M be the event that the person is male and
let E be the event that the person is employed
(i) Find the probability of the person is male P(M)
(ii) Find the probability of the person is male and is employed P(M and E)
(iii) Are Mand E independent events? Justify your answer
(iv) Given that the person chosen is unemployed, find the probability that the person is
female.
Question 6:
The Institute of Continuing Education (ICE) at The Open University of Tanzania has 2 senior
lecturers, 2 lecturers and 4 assistant lecturers to mark examination scripts. Two senior lecturers
mark 60 scripts each, 2 lecturers 100 scripts each and 4 assistant lecturers 400 scripts each. What
is the average number of scripts marked by each ICE academic staff?
END
Transcribed Image Text:Question 5: Data about employment for males and females at Nyalikungu Maswa township are as shown in the table below: Unemployed Employed Male 206 412 Female 358 305 A person from this area is chosen at random. Let M be the event that the person is male and let E be the event that the person is employed (i) Find the probability of the person is male P(M) (ii) Find the probability of the person is male and is employed P(M and E) (iii) Are Mand E independent events? Justify your answer (iv) Given that the person chosen is unemployed, find the probability that the person is female. Question 6: The Institute of Continuing Education (ICE) at The Open University of Tanzania has 2 senior lecturers, 2 lecturers and 4 assistant lecturers to mark examination scripts. Two senior lecturers mark 60 scripts each, 2 lecturers 100 scripts each and 4 assistant lecturers 400 scripts each. What is the average number of scripts marked by each ICE academic staff? END
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