Building a
Binomial Table
The table is a tool for building a binomial distribution.
Given the number of binomial trials, n, and the probability of getting a success in one of those trials, p, we use the table to calculate all total probabilities for X = 0, 1, ..., n.
To form the table, we break the formula for the total probability into two parts: Part A and Part B.
Part A is simply a combination that gives the number of ways we can get X successes out of n trials.
Part B is the probability of getting X successes from n trials in just one of those ways.
To get the total probability, prob(X), we multiply the probability of getting X successes in just one way by the total number of ways.
The result, A x B, is the probability of getting X successes out of n trials in all ways.
n = 3, p = 0.45
X =
A =
B =
prob(X) =
0
1
2
3
A Sample Table With Formulas
n = 3, p = 0.45
X =
A =
B =
prob(X) =
0
1
2
3
A Sample Table With Final Values
0.16637
0.16637
1
3
3
1
0.13612
0.40837
0.11137
0.09112
0.33412
0.09112
n = 3, p = 0.45
X =
A =
B =
prob(X) =
0
1
2
3
Don't Forget to Check Your Calculations
0.16637
0.16637
1
3
3
1
0.13612
0.40837
0.11137
0.09112
0.33412
0.09112
The values in Row A should add up to
n = 3, p = 0.45
X =
A =
B =
prob(X) =
0
1
2
3
Don't Forget to Check Your Calculations
0.16637
0.16637
1
3
3
1
0.13612
0.40837
0.11137
0.09112
0.33412
0.09112
The values in Row prob(X) should add up to 1:
Fin
1. Probability - Building a Binomial Table
By smilinjoe
1. Probability - Building a Binomial Table
a.k.a., Building a binomial distribution.
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