Binomial Probability Calculator Rules
Binomial Distributions
| Conditions | Key Phrases | Probability | Calculator Input | Equations | ||
|---|---|---|---|---|---|---|
|
• Simple Random Sample • Independent Trials • Only Two Possible Outcomes • Probability of Success = p • Number of Trials = n |
• Exactly x | P(X = x) |
• 2nd > Vars • A: binompdf |
binpdf | n,p,x |
• μ = np • σ2 = np(1 − p) • σ = √ np(1 − p) |
|
• At most x • x or fewer • x or less • No more than x |
P(X ≤ x) |
• 2nd > Vars • B: binomcdf |
bincdf | n,p,x | ||
|
• Less than x • Fewer than x |
P(X < x) | bincdf | n,p,(x-1) | |||
|
• Greater than x • More than x |
P(X > x) | 1-bincdf | n,p,x | |||
|
• At least x • x or more • No less than x |
P(X ≥ x) | 1-bincdf | n,p,(x-1) | |||
