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Why the central limit theorem tells us that it is OK to use the normal distribution to determine probabilities of x?

The Central Limit Theorem (CLT) says no such thing! In fact, it states the exact opposite.The CLT sets out the conditions under which you may use the normal distribution as an approximation to determine the probabilities of a variable X. If those conditions are not met then it is NOT OK to use the normal distribution.


What is the parameters that determine a Binomial Distribution?

The binomial distribution has two parameter, denoted by n and p. n is the number of trials. p is the constant probability of "success" at each trial.


How do you find a z-score?

Z Score is (x-mu)/sigma. The Z-Score allows you to go to a standard normal distribution chart and to determine probabilities or numerical values.


Which two important pharmacokinetic parameters does the c0 consider?

The parameter ( C_0 ), or the initial concentration of a drug in the bloodstream, primarily considers two important pharmacokinetic parameters: the volume of distribution (Vd) and the clearance (Cl). The volume of distribution reflects how extensively the drug disperses throughout the body tissues, while clearance indicates the efficiency of the body in eliminating the drug. Together, these parameters help determine the drug's dosing regimen and its therapeutic effectiveness.


Name the 2 parameters which determine the physical state matter?

The two parameters that determine the physical state of matter are temperature and pressure. These parameters influence the arrangement and movement of molecules, affecting whether the matter is in solid, liquid, or gas form.


What does math have to do with a peditrician?

A peditrician might need to use math to determine the kind of disease for probabilities.


What parameters determine the magnifying power of a simple lens?

There are 2 parameters that are needed to determine the magnifying power of a simple lens. These parameters include the distance that is found between the central plain of the lens and the point at which the rays of light pass through the lens.


How do you determine marginal distribution?

Marginal distribution is determined by summing or integrating the joint distribution over the other variable(s). For a discrete random variable, this involves adding the probabilities of all outcomes for one variable while ignoring the others. For continuous random variables, it requires integrating the joint probability density function over the range of the other variables. This process provides the probability distribution of a single variable, reflecting its behavior independently of other variables.


How are probabilities determined?

Probabilities are calculated or estimated in a variety of methods. A non-quantitative means, used by weather forecasters, is to look at general conditions, is provide probabilies based on all indicators. In this way, the probabilities reflect their belief of certain events occurring from 0 (will not occur) to 100% (certain to occur). A second wasy probabilities are determined is to collect data, and determine the relative frequency of a particular event. Perhaps 10% of all motorists drive above the speed limit in a particular area, based on data collection, so we can state the probability of a motorist speeding in a certain area is 10%. Finally, probabilities are developed based on other known probabilites or assuming equally likely outcomes. If I have 5 outcomes, and they are equally likely, then the probability of each one occurring in 20% if these outcomes are independent and mutually exclusive. If I know the chance of coin flip coming up heads is 0.50, I can determine the probability of two coins coming up heads is 0.5 x 0.5 = 0.25.


How do you determine legitimate probability distributions?

Well... the probabilities should add up to exactly 1 and cannot be negative.


Find the missing probability in the table below P 4?

To determine the missing probability P(4) in the table, we need to know the context and the total probabilities listed, as probabilities must sum up to 1. If you provide the other probabilities in the table, I can help you calculate P(4) by subtracting the sum of the known probabilities from 1. Please share the complete information for an accurate solution.


What is the mean of the sampling distribution of the sample mean?

Frequently it's impossible or impractical to test the entire universe of data to determine probabilities. So we test a small sub-set of the universal database and we call that the sample. Then using that sub-set of data we calculate its distribution, which is called the sample distribution. Normally we find the sample distribution has a bell shape, which we actually call the "normal distribution." When the data reflect the normal distribution of a sample, we call it the Student's t distribution to distinguish it from the normal distribution of a universe of data. The Student's t distribution is useful because with it and the small number of data we test, we can infer the probability distribution of the entire universal data set with some degree of confidence.