It depends on the trial, and is normally denoted by p.
What is the symbol for a Probability of success in a binomial trial?
No, in general is not. It is only symmetric if the probability of success in each trial is 0.5
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.
[(1 - p)/(1 - pet)]r for t < -ln(p) where p = probability of success in each trial, r = number of failures before success.
For any particular trial, the total probability is 1.
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.
The binomial probability distribution is discrete.
What is the symbol for a Probability of success in a binomial trial?
p
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.
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?
No, in general is not. It is only symmetric if the probability of success in each trial is 0.5
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.
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.
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, ...
Flipping a coin is an example of a Bernoulli trial. It is an experiment with two possible outcomes (heads or tails) and has a constant probability of success (0.5) for each trial.