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What happens as the value of n increases and the probability of success remains the same?
Kanlo
It depends on your equation. Your equation will tell the proportionallity and then will we be able to tell what will happen to the other variables and or just one variable.
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∙ 13y ago
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Why binomial distribution can be approximated by Poisson distribution?
Only in certain circumstances:The probability of success, p, in each trial must be close to 0.Then, for the random variable, X = number of successes in n trials, the mean is npand the variance is np(1-p). But since p is close to 0, (1-p) is close to 1 and so np(1-p) is close to np.That is, the mean of the distribution is close to its variance. This is a characteristic of the Poisson distribution.Furthermore, the other characteristics of the distribution: constant probability, independence are met so the Binomial can be approximated by the Poisson.It is possible to prove this analytically but the limitations of this browser - especially in terms of mathematical notation - preclude that.Only in certain circumstances:The probability of success, p, in each trial must be close to 0.Then, for the random variable, X = number of successes in n trials, the mean is npand the variance is np(1-p). But since p is close to 0, (1-p) is close to 1 and so np(1-p) is close to np.That is, the mean of the distribution is close to its variance. This is a characteristic of the Poisson distribution.Furthermore, the other characteristics of the distribution: constant probability, independence are met so the Binomial can be approximated by the Poisson.It is possible to prove this analytically but the limitations of this browser - especially in terms of mathematical notation - preclude that.Only in certain circumstances:The probability of success, p, in each trial must be close to 0.Then, for the random variable, X = number of successes in n trials, the mean is npand the variance is np(1-p). But since p is close to 0, (1-p) is close to 1 and so np(1-p) is close to np.That is, the mean of the distribution is close to its variance. This is a characteristic of the Poisson distribution.Furthermore, the other characteristics of the distribution: constant probability, independence are met so the Binomial can be approximated by the Poisson.It is possible to prove this analytically but the limitations of this browser - especially in terms of mathematical notation - preclude that.Only in certain circumstances:The probability of success, p, in each trial must be close to 0.Then, for the random variable, X = number of successes in n trials, the mean is npand the variance is np(1-p). But since p is close to 0, (1-p) is close to 1 and so np(1-p) is close to np.That is, the mean of the distribution is close to its variance. This is a characteristic of the Poisson distribution.Furthermore, the other characteristics of the distribution: constant probability, independence are met so the Binomial can be approximated by the Poisson.It is possible to prove this analytically but the limitations of this browser - especially in terms of mathematical notation - preclude that.
Is Succeeded an abstract noun?
Succeeded is a verb, a form of to succeed. The abstract noun form is success.
What does mediocrity is more easily forgiven than talent mean?
Probably that people get jealous if others have talent (and success).
What is the answer for problem 32 page 364 in algebra Pearson success textbook?
The student doesn't have an error. cause the lines are graphed correctly and it is no solution.
What is EFE matrix?
EFE Matrix is a tool used in the business world, designed to assess current business conditions. It stands for External Factor Evaluation Matrix. It identifies critical success factors for a company and assigns a weight to each factor.
What are the benefits of integrating safety into the Army mission?
It increases the probability of mission success.
What are the benefits to integrating safety into the army mission?
It increases the probability of mission success.
What is needed to develop a bionomial probability distribution?
A number of independent trials such that there are only two outcomes and the probability of "success" remains constant.
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 symbol is used for probability of success in statistics?
A "p" is used for probability of success. A "q" is used for probability of failure.
Does intergrating safety and composite risk management into all military operations increases the probability of mission success and facilitates mission accomplishment?
True
The probability of success is determined by the probability of failure and vice versa?
Yes, but only if there are only two outcomes for an experiment: success and failure. If there are more than two outcomes possible, for example Win, Draw or Lose, the outcomes have to be grouped so that the assertion in the question remains valid. Also, note that in everyday use there is a positive connotation for the word "success". This is not the case in probability theory. If you want the probability of a person being killed by a lightning strike, then success requires thaa person being killed. I somehow don't think the person would consider that a "success".
A binomial probability distribution with 5 as the probability of a success will have a distribution with a shape best described by?
Nothing since it is impossible. No event can have 5 as the probability of success.
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.
Is binomial probability distribution always negatively skewed?
No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed.No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed.No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed.No. It depends on the probability of success, p. If p < 0.5 the distribution is positively skewed.
What happens if the probability of success is low in sports?
The sportsmen/women become more motivated, which may increase the chance. But they'll probably lose anyway.
What is the relationship between probability and the binomial theorem?
What is the symbol for a Probability of success in a binomial trial?
