MA651

PROBABILITY AND STATISTICS



Introduction to probability – Axioms of probability –conditional probability – Bayes formula


Random variables – Density function – Distribution functions –Independent random variables-


Mathematical expectations - Moment generating functions – cumulative generating function -chebyshev’s inequality


Distributions and its types - Curve fitting – Multiple and partial correlation – regression


Type I and II errors in testing – tests concerning mean, proportion and variances (small and large sample tests) – T test for single mean, difference between two sample means – F test for variances of two samples.


REFERENCES

  1. Kandasamy, P., “Engineering mathematics – Vol II, S.Chand &Company Ltd.,New Delhi, 1996.

  2. Frvend John, E. and Miller Irwin, “Probability and Statistics for Engineers”, Prentice Hall, New York.

  3. Allen A.O., “Probability statistics and Queuing theory with computer science applications”, Academic press, 1978.