MA2263 - Probability and Statistics |
UNIT I RANDOM VARIABLES |
Discrete and continuous random variables - Properties- Moments - Moment generating
functions and their properties. Binomial, Poisson ,Geometric, Negative binomial,
Uniform, Exponential, Gamma, and Weibull distributions. |
UNIT II TWO DIMENSIONAL RANDOM VARIABLES |
Joint distributions - Marginal and conditional distributions – Covariance - Correlation and
Regression – function of a random variable-Transformation of random variables -
Central limit theorem. |
UNIT IIITESTING OF HYPOTHESIS |
Sampling distributions – Testing of hypothesis for mean, variance, proportions and
differences using Normal, t, Chi-square and F distributions - Tests for independence of
attributes and Goodness of fit. |
UNIT IVDESIGN OF EXPERIMENTS |
Analysis of variance – One way classification – CRD - Two – way classification – RBD -
Latin square. |
UNIT VRELIABILTY AND QUALITY CONTROL |
Concepts of reliability-hazard functions-Reliability of series and parallel systems- control
charts for measurements (x and R charts) – control charts for attributes (p, c and np
charts)
Note : Use of approved statistical table is permitted in the examination.
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Text Book |
1. J. S. Milton and J.C. Arnold, “ Introduction to Probability and Statistics”, Tata
McGraw Hill, 4th edition, 2007. (For units 1 and 2).
2. R.A. Johnson and C.B. Gupta, “Miller and Freund’s Probability and Statistics for
Engineers”, Pearson Education, Asia, 7th edition, (2007) |
References |
1. Walpole, R. E., Myers, R. H. Myers R. S. L. and Ye. K, “Probability and
Statistics for Engineers and Scientists”, Seventh Edition, Pearsons Education,
Delhi, 2002.
2. Navidi, W, “Statistics for Engineers and Scientists”, Special Indian Edition, Tata
McGraw-Hill Publishing Company Ltd, New Delhi,2008.
3. Spiegel, M.R, Schiller, J and Alu Srinivasan, R, “Schaum’s Outlines Probability
and Statistics”, Tata McGraw-Hill Publishing Company Ltd. New Delhi ,2007. |
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