Probability And Statistics  (Paperback, Hindi, M. RAY, H.S. SHARMA, U.N. SINGH)

Unit-1 Indian Contribution in statistics, Frequency distribution—Measures of central tendency. Mean, Median, Mode, G.M., H. M. Partition values. Measures of dispersion, Range. Interquartile range. Mean deviation. Standard deviation. Moments, Skewness and Kurtosis. Unit-2 Probability. Event, Sample space, Probability of an event. Addition and multiplication theorems, Baye's theorem, Continuous probability—probability density function and its applications for finding the mean, mode, median and standard deviation of various continuous probability distributions. Mathematical expectation, Expectation of sum and product of random variables. Moment generating function. Unit-3 Theoretical distribution—Binomial, Poisson, rectangulars and exponential distribution, their properties and uses. Unit- 4 Methods of least squares. Curve fitting, co-relation and regression. Partial and multiple correlations (upto three variables only). Unit-5 Sampling—Sampling of large samples, Null and alternative hypothesis, Errors of first and second kinds, Level of significance, Critical region. Tests of significance based on chi-square, t, F and Z-statistics.