2. A representative survey of married women was conducted in March 2014. The res
ID: 3219129 • Letter: 2
Question
2. A representative survey of married women was conducted in March 2014. The results of the survey of married women, showing the relationship between education level and the number of children, is summarized in the table below:
Education Number of children
Number
of
Children
Education
(0-1)
(2-3)
Over 3
Totals
Primary
15
35
33
83
Secondary
17
40
16
73
Tertiary
18
15
11
52
Totals
50
90
60
200
a. Calculate the probability that a married woman will have more than three children?
b. What is the likelihood of selecting a married woman with an education level that is above secondary?
c. Given that a married woman has 2 or 3 children, what is the probability that the married woman has primary level education?
d. What is the probability that married woman has less than two children given that she has an education level that is above primary school.
e. The lifetime in years of a radio transistor is known to follow an exponential distribution with a mean time of 6 years. Calculate the probability that the radio transistor will not survive the first 5 years.
Number
of
Children
Education
(0-1)
(2-3)
Over 3
Totals
Primary
15
35
33
83
Secondary
17
40
16
73
Tertiary
18
15
11
52
Totals
50
90
60
200
Explanation / Answer
(a) It is 60/200 = 0.30
(b) It is 52/200 = 0.26
(c) It is (40 + 15)/90 = 0.611
(d) It is 15/(73 + 52) = 0.12
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