Probability of an Event

Actually, for the subject we will cover first, the statistics of linear polycondensation, all you really need is a simple definition, some common sense and the ability to reason. OK, in the common sense department some of you are already in trouble I All we can do is 

FIGURE 5 1 What is the probability of getting three aces in a poker hand  

This simply states that the probability of an event, E, written as P , is equal to the number of E events occurring, divided by 

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Equation (1-23) gives the probability of an event occurring within an arbitrary interval [a, b (Fig. 1-5). Equation (1-23) has been normalized by choosing the right premultiplying constant to make the integral over all space [—oo, oo] come out to 1.00. (see Problems) so the probability over any smaller interval [a, b] has a value not less than zero and not more than one. 

How probabilities, are assigned to tlie elements of the sample space depends on tlie desired interpretation of the probability of an event. Thus P(A)... 

Probability of an event A (ratio of the number of times the event occurs to the total number of trials) Probability that the analyte A is present in the test sample... 

The reliability of screening methods is usually expressed in terms of probability theory. In this regard, the conditional probability, P(B A), characterizing the probability of an event B given that another event A occurs, plays an important role. 

The attractiveness to the adversary of The probability of an event cascading from... 

PROBABILITY of an event is a ratio, expressed as a fraction, decimal, or percent that defines nuT oftLalpLssfeteSmss The notation for the probability of an event is P(event). 

The probability of an event that is certain is one P(event that is certain) = 1. 

The dose-response relahonship in a quantal model can be analyzed with the help of a logistic model where we calculate probability of an event at a given concentrahon or AUC or dose ... 

The exponent a fixes location while fd is the slope the probability of an event not happening is simply... 

The standard tools of statistical inference, including the concept and approaches of constructing a null hypotheses and associated p values, are based on the frequentist view of probability. From a frequentist perspective, the probability of an event is defined as the fraction of times that the event occurs in a very large number of trials (known as a probability limit). Given a hypothesis and data addressing it, the classical procedure is to calculate from the data an appropriate statistic, which is typically... 

Probability The Bayesian or subjective view is that the probability of an event is the degree of belief that a person has, given some state of knowledge, that the event will occur. In the classical or frequentist view, the probability of an event is the frequency of an event occurring given a long sequence of identical and independent trials. 

The probability of an event is the likelihood that it ll happen. The most common way to express a probability is with a percent, such as 60 percent probability of rain or 70 percent likelihood that he ll hit the ball. Probability is also expressed in terms of fractions — in fact, a fraction supplies one of the nicest ways of defining how you get the probability of something happening. 

The probability that something will happen and the odds of it happening are closely tied by the mathematics involved. If the probability of an event is 50 percent, then the odds of the event are 1 to 1 (one that it will, and one that it won t). 

The probability of an event is a percentage between 0 percent and 100 percent, which is computed by dividing the number of ways an event can happen by the total number of ways that all the events can happen. For example, in a family of two children, the probability of there being at least one girl is 75 percent, because in the listing of all the possibilities BB, BG,... 

The probability of an event A, denoted by P A), is a number between 0 and 1 that gives the long-run proportion of occasions on which event A occurs. If we toss a die a large number of times we would score 1 in 1/6 of the throws (provided the die is true), so P(1)=1I6. An impossible event never occurs, so its probability is 0, and a certain event always occurs, so its probability is 1. The... 

A project risk is the probability of an event that negatively impact the project cash flow. 

Fig. 3.3. The probability of an event recorded by the flow cytometer as a single cell actually resulting from more than one cell coinciding in the laser beam. For this model, the laser beam was considered to be 30 pm high and the stream flowing at 10 m per second.

Cross Section Measure of the probability of an event taking... 

The underlying principle of coherent phase control is that the probability of an event occurring is given by the square of the sum of the quantum mechanical amplitudes... 

Combining the wave nature of matter and the probability concept of the Uncertainty Principle, M. Born proposed that the electronic wavefunction is no longer an amplitude function. Rather, it is a measure of the probability of an event when the function has a large (absolute) value, the probability for the event is large. An example of such an event is given below. 

Estimation of the Probability of an Event as a Function of Several Independent Variables". 

The probability of an event occurring is inversely proportional to its desirability. 

Likelihood The expected frequency (or probability) of an event s occurrence. 

When the probability of an event tends to unit or zero, the Shannon entropy is close or equal to zero. Thus, if probability pji of localization of amino acidj in position i equals unit (an absolutely certain event), then... 

Equation 6-9 was introduced previously as Equation 5-1 in Chapter 5, but when dealing with probabilities we have found that it is never a waste of time repeating the basics. The first thing you must do is remember that the probability of an event occurring, P E, is equal to the number fraction of such events, given that you are measuring a really large number of events. 

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