Probability and Statistics 2022

Semester IV Subject Code: MAT221

Credits: 4

Probability and Statistics

1. Probability, Random experiment; Sample point, Event and Probability; Rules of Probability; Conditional Probability; Independence of Events; Bayes’ Rule. Applications.

2. Discrete Random variables Definition; sum and linear composite of random variables; Mean and variance; Bernoulli, Binomial, geometric and negative bi- nomial distributions; hypergeometric distribution; Poisson distribution. Ap- plications.

3. Continuous Random Variables. Definition; Uniform and exponential distribu- tions; Normal distribution and its properties; Standard normal distribution; Transformation from a general normal distribution to standard normal; Check- ing for normality of data; Applications.

4. Point Estimation and Confidence Intervals Point estimation of the population mean and standard deviation of a normal distribution; Estimation of propor- tion; Confidence intervals; Large sample methods; Applications.

5. Hypothesis Testing Hypothesis - simple and composite; Null and alternative; Test of Hypothesis; Type I and Type II errors; Level and power of a test; p-value; Tests for mean and standard deviation; Test for proportion; one tail or two tails. Applications.

References

1. A.D. Aczel, and J. Sounderpandian Complete Business Statistics, 7th Edition, McGraw-Hill, Irwin, 2008.

2. S.C. Gupta, V.K. Kapoor, Fundamentals of Mathematical Statistics (A Modern Approach), 10th Edition, Sultan Chand and Sons, 2000.

3. M.L.Samuels,andJ.A.Witmer,Statisticsforthelifesciences,3rdEdition,Pren- tice Hall, 2003.

4. H.E.VanEmden,StatisticsforterrifiedBiologists,BlackwellPublishing,2008.

5. R. Barlow, Statistics - A guide to the use of statistical methods in the Physical Sciences, Wiley, 1999.