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What is she binomial probability distribution is used with?
It is used when repeated trials are carried out , in which there are only two outcomes (success and failure) and the probability of success is a constant and is independent of the outcomes in other trials.
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 is the difference between Geometric and a Poisson probability distribution?
The geometric probability distribution models the number of trials needed to achieve the first success in a series of independent Bernoulli trials, with a constant probability of success on each trial. In contrast, the Poisson probability distribution represents the number of events occurring in a fixed interval of time or space, given a constant average rate of occurrence and independence of events. Essentially, the geometric distribution focuses on the number of trials until the first success, while the Poisson distribution deals with the count of events happening within a specific period or area.
When do you have a geometric distribution?
A geometric distribution comes from a binary probability which does not have a set number of trials. It seeks to determine how many trials must be conducted before success is achieved. For example, instead of saying, "If I shoot the ball 5 times, what is my probability of success," a geometric probability would question, "How many times will I have to shoot the ball before I make a basket?"
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.
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 is she binomial probability distribution is used with?
It is used when repeated trials are carried out , in which there are only two outcomes (success and failure) and the probability of success is a constant and is independent of the outcomes in other trials.
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 is the difference between Geometric and a Poisson probability distribution?
The geometric probability distribution models the number of trials needed to achieve the first success in a series of independent Bernoulli trials, with a constant probability of success on each trial. In contrast, the Poisson probability distribution represents the number of events occurring in a fixed interval of time or space, given a constant average rate of occurrence and independence of events. Essentially, the geometric distribution focuses on the number of trials until the first success, while the Poisson distribution deals with the count of events happening within a specific period or area.
How is poisson distribution related to binomial distribution?
The Poisson distribution is a limiting case of the binomial distribution when the number of trials is very large and the probability of success is very small. The Poisson distribution is used to model the number of occurrences of rare events in a fixed interval of time or space, while the binomial distribution is used to model the number of successful outcomes in a fixed number of trials.
What does the Empirical Rule indicate?
An empirical rule indicates a probability distribution function for a variable which is based on repeated trials.
What is a binomial distribution?
The binomial distribution is one in which you have repeated trials of an experiment in which the outcomes of the experiment are independent, the probability of the outcome is constant.If there are n trials and the probability of "success" in each trail is p, then the probability of exactly r successes is (nCr)*p^r*(1-p)^(n-r) :where nCr = n!/[r!*(n-r)!]and n! = n*(n-1)*...*3*2*1
When do you have a geometric distribution?
A geometric distribution comes from a binary probability which does not have a set number of trials. It seeks to determine how many trials must be conducted before success is achieved. For example, instead of saying, "If I shoot the ball 5 times, what is my probability of success," a geometric probability would question, "How many times will I have to shoot the ball before I make a basket?"
Why do you use binomials?
Binomials are used when the total of n independent trials take place and one wants to find the probability of r successes, when each success has a probability "p" of occurring. There should be independent trails, Probability of success stays the same for all trials, Fixed number of trials and Two different classifications in order to use binomial 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.
What is required in a binomial distribution?
A number of trials, each of which has only two outcomes: these are usually termed "success" and "failure". The trials must be independent and the probability of success must remain constant.
