This text blends theory and applications, reinforcing concepts with practical real-world examples that illustrate the importance of probability to undergraduate students who will use it in their subsequent courses and careers. The author emphasizes the study of probability distributions that characterize random variables, because this knowledge is essential in performing parametric statistical analysis. Explanations include the why as well as the how of probability distributions for random variables to help engage students and further promote their understanding. In addition, the text includes a self-contained chapter on finite Markov chains, which introduces the basic aspects of Markov chains and illustrates their usefulness with several real examples. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.Example. 9.1.4. (Biological. population. problem). ) 1 P p N Q N = a ... The population undergoes a birth and death process such that N remains fixed: At the discrete instant of time t t tn 1 2 alt; alt; alt; ... ..., one individual dies and is replaced by anbsp;...
|Title||:||Probability for Engineering, Mathematics, and Sciences|
|Publisher||:||Cengage Learning - 2011-07-21|