Binomial cumulative distribution function For X B(n,p), P(X <= x)=P(0 <= X <= x)= _k=0x nkpk(1-p)n-k Before using BinomCDF on a TI-84 series graphic calculator, convert the expression to the form P(X <= x). For integers a,b between 0 and n inclusive, use the following identities. | 1. P(X <= n)=1 | 2. P(X<a)=P(X <= a-1) 3. P(X>a)=1-P(X <= a) | 4. P(X >= a)=1-P(X <= a-1) 5. P(a <= X <= b)=P(X <= b)-P(X <= a-1) | 6. P(a<X<b)=P(X <= b-1)-P(X <= a)

Binomial cumulative distribution function

\[P(X\le x)=P(0\le X\le x)=\sum_{k=0}^{x}\binom nkp^k(1-p)^{n-k}\]

BinomCDF

Before using BinomCDF on a TI-84 series graphic calculator, convert the expression to the form \(P(X\le x)\). For integers \(a,b\) between \(0\) and \(n\) inclusive, use the following identities.


1. \(P(X\le n)=1\)	2. \(P(X<a)=P(X\le a-1)\)
3. \(P(X>a)=1-P(X\le a)\)	4. \(P(X\ge a)=1-P(X\le a-1)\)
5. \(P(a\le X\le b)=P(X\le b)-P(X\le a-1)\)	6. \(P(a<X<b)=P(X\le b-1)-P(X\le a)\)

Cumulative Probabilities and Calculator Use

Cumulative Probabilities and Calculator Use