IIT Bhubaneswar

MA6L001
Mathematical Methods (Probability and Statistics)

INFORMATION
SHEET

**Probability:** Random variables (rv) and their
properties, some standard discrete and continuous rv,
Expectation, Variance, moments, moment generating functions, functions of a rv, their distribution and moments, joint, marginal and
conditional distribution and independence of rvs, Central limit theorem.

(No.
of Lectures - 12)

**Statistics:** Sampling distributions, Point and interval estimation, Testing of
hypothesis, Goodness of fit and contingency tables, ANOVA.

(No. of Lectures - 12)

**Main Text Books**

1. Introduction to
Probability and Stochastic Processes with Applications, Liliana Blanco
Castaneda, Viswanathan Arunachalam,
S Dharmaraja, Wiley, 2012.

2. Probability and
Statistics with Reliability, Queueing and Computer
Science Applications, Kishor S. Trivedi, John Wiley,
second edition, 2001.

3. Introduction to
Probability Models, Sheldon M. Ross, Academic Press, ninth edition, 2000.

4. 4. A.M. Gun, M.K. Gupta and B.S. Gupta, Fundamentals
of Statistics, World Press, 2008.

**Reference Books**

1. A.J. Hayter, Probability and Statistics, Duxbury, 2002.

2. J.B. Scarborough, Numerical
mathematical analysis, oxford & IBH Publishing, 2000.

3. R.W. Hamming, Numerical
Methods for Scientist and Engineers, McGraw Hill, 1998.

4. J.H. Mathews and
K.D. Fink, Numerical Methods using MATLAB, Pearson Education, 2004.

Note: It seems, some students found that the answers provided for few problems in the following tutorial sheets are not correct. Please let me know these errors by email.

Tutorial Sheet 1
Tutorial Sheet 1 Answer

INFORMATION about the Instructor

Name |
Room No. |
Phone No. |
Email |

S Dharmaraja |
MZ 161 |
7104 |
dharmar@maths.iitd.ac.in |

See Course Website: http://web.iitd.ac.in/~dharmar/MA6L001/main.html
for further details.