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Total Pages: 2
Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER MCA DEGREE EXAMINATION, DECEMBER 2017

Course Code: ۸11۸05
Course Name: APPLIED PROBABILITY AND STATISTICS
Max. Marks: 60 Duration: 3 Hours

Statistical tables can be used.

PART A
Answer all questions, each carries 3 marks. Marks
1 Why Arithmetic Mean is considered as best measure of central tendency? (3)
2 State multiplication theorem of probability. (3)
3 Define Binomial distribution and write its mean and variance. (3)
4 Derive mean of Geometric distribution. (3)
5 Define mean and variance of a continuous random variable. (3)
6 Define Normal distribution. (3)
7 Define critical region and level of significance. (3)
8 Define Stratified Sampling. (3)
PART B
Answer six questions, one full question from each module and carries 6 marks.
Module I
9 Find the missing frequencies of the following distribution. It is known that mean
(6) is 50 and total number of families is 100.
Expenditure
No of families 14 ۰ 27 ‏سی‎ 15
OR
10 Scores of two batsmen A and B during a certain match are as follows. (6)
Batsman 10 12 80 70 60 100 0 4
A
Batsman 8 | ° 7 10 5 | ° 10 | ° |
B
Compare their variance and find who is more consistant.
Module II
11 Probability that A solves the problem in Statistics is .The probability that B (6)
solves it is . If they try independently find the probability that (i) both solve the
problem (ii) none solves the problem (iii) at least one solves the problem.
OR
12 The chance that doctor A will diagnose disease B correctly is 60%. The chance (6)

that the patient will die by his treatment after correct diagnosis is 40% and the