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Exact Value
binompdf(n, p, x) use the given x
Example:
Given: x = 3
Use: x = 3
Less than
binomcdf(n, p, x) use the value before the given x
Example:
Given: x = 3
Use: x = 2
At most
binomcdf(n, p, x) use the given x
Example:
Given: x = 3
Use: x = 3
More than
1 - binomcdf(n, p, x) use the given x
Example:
Given: x = 3
Use: x = 3
At least
1 - binomcdf(n, p, x) use the value before the given x
Example:
Given: x = 3
Use: x = 2
How likely x or x
binompdf(n, p, x) + binomcdf(n, p, x)
Between x and x
binompdf(n, p, x) + binompdf(n, p, x) + binompdf(n, p, x) + binompdf(n, p, x) = x
Mean/Average/Expected Number
mean = n x p
Binomial Experiment Requirements
The experiment must have a fixed number of trials and it is denoted by n.
Each trial must have only 2 possible outcomes of interest (Success , Failure)
The trials must be independent and identical.
The probability of a “success” is same for each trial and it is denoted by p.
The random variable must be the number of successes in n trials.
Parameters of a binomial distribution are n and p.
