Probability And Statistics Worksheets - Universiti Malaysia Perlis Page 2
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6EQT 272 PROBABILITY AND STATISTICS
SEMESTER 1
2012/2013
Question 1:
A sample of three calculators is selected from a manufacturing line, and each calculator is
classified as either defective or acceptable. Let A, B, and C denote the events that the first,
second, and third calculators respectively, are defective.
a) Describe the sample space for this experiment with a tree diagram.
(4 Marks)
b) Find the probabilities of the following events;
(8 Marks)
i)
P
( A
)
P
(B
)
ii)
iii)
P
(
A
B
)
iv)
P
(
B
C
)
a)
st
nd
rd
1
calculator
2
calculator
3
calculator
Result
D
D
D
D
3
1
2
3
1M (branch)
D
D
A
1
2
3
D
A
2
3
1M(label)
D
D
A
D
1
2
3
3
D
A
A
D
A
1
2
3
A
1
2
3
D
A
D
D
3
1
2
3
D
2
A
D
A
A
1
2
3
3
A
1
A
A
D
1
2
3
D
A
3
2
A
A
A
1
2
3
A
3
1M
1A(correct sample
S
{
D
D
D
,
D
D
A
,
D
A
D
,
D
A
A
,
A
D
D
,
A
D
A
,
A
A
D
,
A
A
A
}
1
2
3
1
2
3
1
2
3
1
2
3
1
2
3
1
2
3
1
2
3
1
2
3
outcomes)
b) A = defective calculator 1
1M
= { D
D
D
, D
D
A
, D
A
D
,D
A
A
}
1
2
3
1
2
3
1
2
3
1
2
3
1A
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