Ebook: The Theory of Probability: Explorations and Applications (Instructor Solution Manual, Selected Solutions)

Several generations of students and teaching assistants worked out problems
and contributed to the selected solutions assembled here. I should especially
acknowledge Wei Bi, Shao Chieh Fang, Gaurav Kasbekar, Jonathan Nukpezah,
Alireza Tahbaz Salehi, Shahin Shahrampour, Evangelos Vergetis, and Zhengwei
Wu. I must confess immediately that not all the solutions have seen the same
level of scrutiny; and, while I have expended some effort to bring some uniformity
of style and presentation to the material, it may occasionally lack some
polish. It struck me, however, that a reader desirous of an early view of the results
may be willing to forgive the deficiencies in the current crude assemblage
and, accordingly, that it may be preferable to provide a rough and ready collection
of solutions now, however unpolished, unvetted, and incomplete, and not
wait till I had had the time to proof-read them carefully and present them in a
uniform format and style while filling in the gaps.

References to ToP are, of course, to The Theory of Probability; references
to Equations, Examples, Theorems, Sections, Chapters, and so on point to the
main text; the referencing conventions are as in ToP. As a navigational aid, page
headings are labelled by chapter and problem; the detailed index that I have
provided may also be of use.

There are inevitably errors in the text lying in wait to be discovered. I
can only hope that these are of the obvious kind that do not cause great consternation
and apologise for these in advance. I would certainly very much
appreciate receiving word of errors and ambiguities both here and in the main
text of ToP.

January 1, 2015: The task of compiling solutions proceeds slowly. The
current version of the palimpsest provides solutions for more than 75% of the
problems: of the 560 problems assigned for solution in ToP, 428 now have solutions
spelled out in detail. In many instances I have provided two or three different
approaches to solution to illustrate different perspectives; and the solutions
frequently flesh out themes and generalisations suggested by the patterns
of attack. Table 1 on the following page identifies