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In situations like this it's more common to model the systems as what are called stochastic processes, in this case probably Markov chains.

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Q: In which discrete distributions does the probability of a success vary from one trial to the next?
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How many experimental outcomes are possible for the binomial and the Poisson distributions?

The binomial distribution is a discrete probability distribution. The number of possible outcomes depends on the number of possible successes in a given trial. For the Poisson distribution there are Infinitely many.


What symbol is used for Probability of success in a binomial trial?

p


What are the 6 characteristics of a binomial distribution?

Each outcome must be classified as a success (p) or a failure (r),The probability distribution is discrete.Each trial is independent and therefore the probability of success and the probability of failure is the same for each trial.


Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?

Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?


What condition must be met to use the normal distribution to approximate the binomial distribution?

A large sample (n > 25) and p, the probability of success on each trial = around 0.5 (0.35 to 0.65).Independence is already assumed for it to be binomial.A large sample (n > 25) and p, the probability of success on each trial = around 0.5 (0.35 to 0.65).Independence is already assumed for it to be binomial.A large sample (n > 25) and p, the probability of success on each trial = around 0.5 (0.35 to 0.65).Independence is already assumed for it to be binomial.A large sample (n > 25) and p, the probability of success on each trial = around 0.5 (0.35 to 0.65).Independence is already assumed for it to be binomial.

Related questions

What is the symbol for probability of success in a binomial trial?

The symbol for probability of success in a binomial trial is the letter p. It is the symbol used for probability in all statistical testing.


How many experimental outcomes are possible for the binomial and the Poisson distributions?

The binomial distribution is a discrete probability distribution. The number of possible outcomes depends on the number of possible successes in a given trial. For the Poisson distribution there are Infinitely many.


Probability of success in a binominal trial?

It depends on the trial, and is normally denoted by p.


What is the relationship between probability and the binomial theorem?

What is the symbol for a Probability of success in a binomial trial?


What symbol is used for Probability of success in a binomial trial?

p


What are the 6 characteristics of a binomial distribution?

Each outcome must be classified as a success (p) or a failure (r),The probability distribution is discrete.Each trial is independent and therefore the probability of success and the probability of failure is the same for each trial.


How do you solve for probabilities in binomial distributions?

Suppose you have n trials of an experiment in which the probability of "success" in each trial is p. Then the probability of r successes is: nCr*pr*(1-p)n-r for r = 0, 1, ... n. nCr = n!/[r!*(n-r)!]


Probability of success in a binomial trial symbol?

The letter p, in lower case.


Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?

Consider a binomial distribution with 10 trials What is the expected value of this distribution if the probability of success on a single trial is 0.5?


Is a binomial distribution symmetric?

No, in general is not. It is only symmetric if the probability of success in each trial is 0.5


What are the requirements for the binomial probability distribution?

The requirements are that there are repeated trials of the same experiment, that each trial is independent and that the probability of success remains the same.


What does the Probability of success in a binomial trial symbol?

In typical notation, "p" is the probability of sucess and "q" is the probability of failure. So q = 1 - p. But for your question: p = p.