# MNIT Jaipur Syllabus computer science Probability and Statistics

# MNIT Jaipur Syllabus computer science Probability and Statistics

Probability and Statistics

Probability Theorem: Properties of probability, Conditional probability, Independence, Bayes theorem

Discrete Distributions: Probability distribution functions and cumulative distribution functions

Mean and variance; moment-generating functions, Marginal and conditional probability distributions,

Some specific discrete distributions

Continuous Distributions: Probability density functions and cumulative distribution functions, Mean

and variance; moment generating functions, Marginal and conditional probability distributions, Some

specific continuous distributions

Functions of Random Variables: Distribution function technique, Transformation technique, Momentgenerating function techniques

Text/References:

1. DeGroot, Morris H., and Mark J. Schervish. Probability and Statistics. 3rd ed. Boston, MA:

Addison-Wesley, 2002. ISBN: 0201524880.

2. Feller, William. An Introduction to Probability Theory and Its Applications. 3rd ed., rev.

printing. New York, NY: Wiley, 1968. ISBN: 0471257087.

3. Freund, W.J., Mathematical Statistics, 5

th

Ed., Prentice-Hall, Inc., Englewood Cliffs, N.J., 1994.

4. Hoel, P.G., Mathematical Statistics, 5

th

Ed., John Wiley & Sons, Inc., NewYork, 1984.

5. Hogg, R.V., & Craig, A.T., Introduction to Mathematical Statistics, 5

th

Ed.,Prentice-Hall, Inc.,

Englewood Cliffs, N.J., 1995.

6. Mood, A.M., Graybill, F.A., Boes, D.C., Introduction to the Theory of Statistics, 3

rd

Ed. McGraw

Hill, Inc., New York, 1974.

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