Probablity & statistics

(16HS613)

UNIT-I
Probability: Introduction, Conditional probability, Baye‟s theorem, Random variables,
Discrete and continuous Distributions, Expectation, Varience, Moments, Moment generating
functions
UNIT-II
Distributions, Binomial, Poisson, Normal, Uniform, Exponential and Gamma distributions,
related properties and applications
UNIT-III
Test of Hypothesis: Population and Sample, Confidence interval of mean from Normal
distribution, Null and Alternative hypothesis, Level of significance
Test of significance: Test based on normal distribution, Z test for means and proportions,
Small samples t- test for one sample and two sample problem and paired t-test, F-test and
Chi-square test (testing of goodness of fit and independence).
UNIT-IV
Analysis of variance one way classification and two way classification (Latin square Design
and RBD)

UNIT-V
Statistical Quality Control: Concept of quality of a manufactured product, Defects and
Defectives, Causes of variations, Random and assignable, The principle of Shewhart Control
Chart-Charts for attribute and variable quality characteristics, Constructions and operation of
X- bar Chart, R-Chart, P-Chart and C-Chart.
TEXT BOOKS:

1. Statistical methods by S.P. Gupta, S.Chand publications.
2. Probability & Statistics by T.K.V. Iyengar, S.Chand publications.
REFERENCES:
1. Probability & Statistics by E. Rukmangadachari & E. Keshava Reddy, Pearson Publisher.
2. Probability & Statistics for engineers by Dr. J. Ravichandran WILEY-INDIA publishers.
3. Probability & Statistics for Science and Engineering by G.Shanker Rao, Universities
Press.
4. Probability and Statistics for Engineering and Sciences by Jay L.Devore, CENGAGE.
5. Probability and Statistics by R.A. Jhonson and Gupta C.B

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