The mode of a

continuous probability distribution, denoted by mode(X), is the value at which the pdf has its maximum.

The critical levels in the soil were determined through the methodology of reduced

continuous probability distribution (NCRIz), according to Maia et al.

1993); the average strand angle with a SD or a range (Barnes 2002);

continuous probability distributions such as the von Mises distribution (Harris and Johnson 1982, Shaler 1991, Xu and Suchsland 1998) and normal distribution (Chen et al.

The normal distribution is the

continuous probability distribution given by f(x)=1/[pi][e.sup.[-(x-[micro]).sup.2]] where [sigma]=1.

In a companion to The Probability Handbook, McShane-Vaughn presents problems corresponding to each of the chapters in the mother volume: learning to count, the rules of the game, discrete probability distribution problems, and

continuous probability distributions. She accompanies each probability problem with a detailed numerical solution and an explanation in a conversational style, and where applicable, also presents solutions using Excel.

The GEV distribution is a family of

continuous probability distributions developed within extreme value theory to combine the Gumbel, Frechet and Weibull families.

The beta distribution is a family of

continuous probability distributions defined on the interval (0, 1) parameterized by two positive shape parameters, typically denoted by a and b.

Most reliability studies assume that time is continuous, and

continuous probability distributions such as exponential, gamma, Weibull, normal, and lognormal are commonly used to model the lifetime of a component or a structure.

The methodology proposed in this article utilizes an expert judgment model within a Bayesian framework for the more complex case of

continuous probability distributions, The most general form of Bayes' Theorem applies to discrete probability distributions, and relates the conditional and prior probabilities of two events using the following equation,

Chapter 5 introduces basic concepts of probability and also lays a platform for discrete and

continuous probability distributions covered in Chapter 6 and 7 respectively.

In over 100 exercises, supported by the accompanying CD-ROM, she describes probability concepts, discrete probability distributions,

continuous probability distributions, mathematical expectation, limit theorems, transitions to statistics, estimating theory, hypothesis testing theory, order statistics and quantiles, permutation analysis, bootstrap analysis, multiple sample analysis, linear least squares analysis and contingency truth analysis.

His topics include descriptive statistics,

continuous probability distributions, hypothesis testing, regression and correlation methods, and design and analysis techniques for epidemiologic studies.