Probability And Statistics

This book is an introduction to probability and statistics for the graduate and undergraduate students. The basic idea of probability and statistics along with the many properties, theorems and examples is discussed in this book. This book provides a thorough knowledge of probability, random variable, continuous and discrete distributions. This book possesses five chapters. Each chapter has been described in such a way that the students will grasp the matter easily. The objective type questions are also presented at the end of every chapter. Dr. Mukesh Kumar is presently working as an Associate Professor in the Department of Mathematics at Graphic Era University, Dehradun, India, He received M. Phil Degree in Mathematics from Indian institute of Technology, Roorkee, India and Ph.D. Degree from HNBG Central University, Srinagar and has an experience of more than 13 years. His fields of specialization are inventory control, supply chain management and operations research. He has published 19 research papers in national and international reputed journals as well as presented many papers in national and international conferences. He has guided two Ph.D. students in the field of operations research. H is also on the editorial board of many National and International journals and reviewer of many national and international journals. He is an author/co-author six books viz. Mathematical Foundation of Computer Science, Engineering Mathematics for Semesters / and Il, Engineering Mathematics for Semesters Ill and IV, Business Mathematics and Differential Calculus. Dr. Anubhav Pratap Singh is working as an Assistant Professor (Senior scale) in Department of Mathematics at SGRR PG College affiliated with HNB Garwhal Central University, Srinagar. He obtained M.Phil. in Mathematics from IT, Roorkee, and Ph. D. in Mathematics from CCS University, Meerut, UP, He received M.Sc. in Mathematics and undergraduation from H.N.B. Garwhal University, Srinagar. He has 10 years postgraduate teaching experience and guided six Ph.D. students in the field of operations research. He has published many research papers in national and international reputed journals as well as presented many papers in national and international conferences. Dr. Ashok Kumar is working as an Assistant Professor in the Department of Mathematics at H.N.B. Garhwal University (A Central University), Srinagar, Garhwal, Uttarakhand. He has completed his M.Sc. (Applied Mathematics) and Ph.D. in Mathematics from the Department of Mathematics, Indian Institute of Technology, Roorkee. He has worked as an assistant professor in Government W. PG College, Kandhla, Muzaffarnagar, UP and after it he worked as an assistant professor in the department of mathematics NIT, Jalandhar, Punjab. His research area are Computational Fluid Dynamics, Hydrodynamic Stability, Spectral Method and Spectral Element Methods. He has been completed one UGC STARTUP Research Project and one DST-SERB project is running on Hydrodynamic stability in Vertical pipe filled with porous medium. He has published 12 research paper in international peer review journals and 06 articles in National and International conferences organized in India and abroad. Dr. Anand Chauhan is presently working as an Assistant Professor in the Department of Mathematics, Graphic Era University, Dehradun, India. He has done Master of Science in Mathematics from HNB Garhwal Central University, Srinagar and Ph.D (Operations Research) from C.C.S. University, Meerut. He has 10 years of teaching experience. He has published 30 research papers in national/international peer reviewed journals. His research interest includes Operational research, Optimization, Numerical Analysis. He is an author/co-author of the books viz. Business Mathematics, Mathematics-1, Calculus of variations and its applications, linear 3D Thermal Stability of a Viscous Fluid in Cubical Cavity, and Optimal Replenishment Policies for Deteriorating Items under Inflation. Brief Contents: Basic Probability Theory • Random Variable • Discrete Distributions • Continuous Distributions • Joint Distributions