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What is the relationship between probability and the binomial theorem?
What is the symbol for a Probability of success in a binomial trial?
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.
Moment generating function of a negative binomial distribution?
[(1 - p)/(1 - pet)]r for t < -ln(p) where p = probability of success in each trial, r = number of failures before success.
Does a binominal distribution with trials that are independent mean that the outcome of one trial does not affect the outcome of any other trial?
No. The fact that the outcome of one trial does not affect the outcome of any other trial follows from the fact that the trials that are independent. Whether the distribution is binomial or not is totally irrelevant.
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 the binominal probability discrete or continuous?
The binomial probability distribution is discrete.
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.
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.
What is the formula for geometric probability?
If you have an experiment in which the probability of success at each trial is p, then the probability that the first success occurs on the nth trial is Pr(N = n) = [(1 - p)^(n-1)]*p for n = 1, 2, 3, ...
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.
