A financial record of two companies A and B are examined to determine whether each company showed a profit (P) or not (N) during the last financial year.
Question: (a) Is this a random experiment? Justify your answer.
(b) List the simple events associated with this experiment.
(c) Suppose P(A shows profit) = 0.8 and P(B shows profit) = 0.2, what is the probability that either of the company shows profit.? (State assumptions).
2. Description
In the following Venn diagram the ten sample points shown are equally likely.
Question: State following probabilities:
1. P(A), P(B), P( )
2. Are A and B mutually exclusive and exhaustive? Justify your answer.
Case 3: Description
Study the following diagrams and answer the questions
Following are the marks awarded to 8 competitors by two judges during a music competition.
|
Participant No.
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
|
Judge 1
|
75
|
78
|
83
|
56
|
89
|
90
|
65
|
95
|
|
Judge 2
|
72
|
80
|
83
|
60
|
92
|
94
|
70
|
93
|
Question: Can you say that two judges agree with each other.
Case 4: Description
A person visits a family having three children. He notices that one male child was playing with toys.
Question :
(a) State the sample space of this experiment.
(b) What is the probability the family has all children of the same sexes?
(c) What is the probability that family has children of both the sexes?.
Case 5: Description
It is hypothesized that average performance of female students is better than male students in the subject of Mathematics of HSC examination. To test the claim a student randomly selects 8 male and 8 female students from his class and records the marks in Mathematics. Following are the marks in Mathematics of selected students:
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Student No: 1 2 3 4 5 6 7 8
Male student 65 72 61 56 76 81 63 85
Female student 85 81 76 61 72 56 63 100
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Question
(a) Suggest appropriate statistical analysis of the above data.
(b) Can you apply any test to check the claim? Give in brief the details of the test and perform it on the above data and conclude.