|Exact binomial probabilities|
|Approximation via the normal distribution|
|Approximation via the Poisson Distribution|
will calculate and/or
estimate binomial probabilities for situations of the general "k out of n"
type, where k is the number of times a binomial outcome is observed or stipulated to occur, p is the probability that the outcome will occur on any particular occasion, q is the complementary probability (1-p) that the outcome will not occur on any particular occasion, and n is the number of occasions.
For example: In 100 tosses of a coin, with 60 "heads" outcomes observed or stipulated to occur among the 100 tosses,
||n = 100
||[the number of opportunities for a head to occur]
|k = 60
||[the stipulated number of heads]
|p = .5
||[the probability that a head will occur on any particular toss]
|q = .5
||[the probability that a head will not occur on any particular toss]
Show Description of Methods
To proceed, enter the values for n, k, and p into the designated cells below, and then click the «Calculate» button. (The value of q will be calculated and entered automatically). The value entered for p can be either a decimal fraction such as .25 or a common fraction such as 1/4. Whenever possible, it is better to enter the common fraction rather than a rounded decimal fraction: 1/3 rather than .3333; 1/6 rather than .1667; and so forth.
Parameters of binomial sampling distribution:
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©Richard Lowry 2001-
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