Titlebook: Probability Through Problems; Marek Capiński,Tomasz Zastawniak Book 2001 Springer Science+Business Media New York 2001 Conditional probabi

極為憤怒

Limit Theorems,esults constitute an important part of probability theory because of their theoretical significance and practical consequences. Some proofs tend to be quite difficult, however, and are deferred to a more advanced course in probability. Instead, the consequences and applications will be highlighted here.

evanescent

Asymptomatic

Probability Through Problems978-0-387-21659-1Series ISSN 0941-3502 Series E-ISSN 2197-8506

demote

BRUNT

帳單

Modeling Random Experiments, or a journey by train (outcome: the delay of arrival at the destination measured in minutes). We may be vitally interested in answers to questions such as:.The mathematical investigation of such questions begins after we find a suitable mathematical model of the random situation. Only then can the

充滿裝飾

Classical Probability Spaces,ly, so the probability of an event consisting of . outcomes is simply ./.. In the framework of general probability spaces, this means that we assume that Ω is a finite set (with m elements), Σ = 2., and .({.}) =1/. for each . ∈ Ω; hence, .. We shall call such probability spaces . and refer to . as t

撕裂皮肉

Fields,of a probability measure ., which means that if . is an event, then it makes sense to compute .(.). It is natural to ask questions like this: What is the probability of the union of two events (one or the other happens)? What is the probability of the intersection of two events (both happen)? What i

calamity

Finitely Additive Probability,ikely is it that a given event . takes place?” The basic idea encapsulated in condition (b) of Definition 4.1 is that to measure a set, we can decompose it into finitely many disjoint pieces, measure each piece separately, and then add up the results. In Chapter 6, this will be extended by allowing

自愛

Random Variables and Their Distributions,d adding the numbers shown. You win 9 dollars in case 2, 3, 11, or 12 comes out, or lose 10 dollars if the outcome is 7. Otherwise, you do not win or lose anything. This defines a function on the set of all possible outcomes {2, ... , 12}, the value of the function being the corresponding gain (or l