THE INTERNATIONAL UNIVERSITY  VIETNAM NATIONAL UNIVERSITY  HCMC
FINAL TEST
Date: June 26, 2006
Duration: 90 minutes
SUBJECT:
PROBABILITY AND STATISTICS (IT)
Head of Department of Mathematics
Lecturer:
Signature:
Signature:
Full name: Prof. Phan Quoc Khanh
Full name: Prof. Nguyen Van Thu
INSTRUCTIONS:
All documents, except: 1. Dictionaries; 2. Scientiﬁc
Calculators 3. Copies of Statistical Tables and Proofs, are not allowed
.
Question 1.
(20 marks). Formulate deﬁnitions and give examples of the
following concepts:
(i) Populations,;
(ii) Experiments and experimental data;
(iii) Samples and sample space;
(iv) Events of a sample space and their probability.
Question 2.
(20 marks) Consider the experiment of tossing successively twice
a balanced die with 6 faces numbered 1,2,3,4,5,6. What is the sample space
and what is the probability of the event which is consisted of pairs (
a,b
) of
numbers such that
a
+
b
is an even number?
Question 3.
(20 marks)) Suppose that a student ﬂips a coin and tosses a
die and observes their occurrences. He ﬂips the coin and then ﬂipping it a
1
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View Full Documentsecond time if a head occurs. If a tail occurs on the ﬁrst ﬂip, then a die is
tossed once. List the elements of the sample space and assign probabilities to
the sample points.
Question 4
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 Spring '09
 thu
 Statistics, Probability, Probability theory

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