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Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY FIRST SEMESTER MCA DEGREE
EXAMINATION, JULY 2018 Course Code: RLMCA105 Course Name: APPLIED PROBABILITY
AND STATISTICS

Max. Marks: 60 Duration: 3 Hours
PART A
Answer all questions, each carries 3 marks Marks
1 Define skewness and kurtosis. (3)
2 Find the standard deviation for the following data: (3)
Age (in years) 20-30 30-40 40-50 50-60 60-70 70-80 80-90

No. of members 3 61 132 153 140 51 2

3 Write the axioms of probability. (3)
4 Define the following: (3)
i) Random variable ii) probability density function with examples

5 Find the mean and variance of a Poisson distribution. )3(
6 If X is uniformly distributed with mean 2 and variance 1/3. Find P[X>2]. (3)
7 Find the marginal probability distributions of f(x,y)= (x+y)/3, 08 State the types of sampling with examples. (3)

Answer six questions, one full question from each module and carries 6 marks.

Module 1

9 a) Define the different types of data with examples. (3) b) Draw a histogram for

the following data (3)
Marks of students 0-10 10-20 20-30 30-40 40-50 50-60

Number of students 12 18 27 20 17 6
OR
10 2) Find the median and mode for the following data: (3)

Class 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 interval

Frequency 5 8 7 12 28 20 10 10
b) Find the range and quartile deviation of the following data: (3)
x 0 1 2 3 4 5 6 7 8
f 1 9 26 59 72 52 29 7 1

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