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Binomial distribution How to calculate probability of a binomial function

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Texas 30XIIB binomial cdf


The only known equation for the cumulative binomial distribution is the sum of the individual binomial probabilities. Some more sophisticated (and more expensive) calculators have that equation built in, but the 30xii does not.

If n>30 and n*p>5 and n*(1-p)>5 then you can approximate the cumulative binomial with the normal probability function, but again the 30xii does not have that built in.

Apr 14, 2014 | Texas Instruments TI-30 XIIS Calculator

1 Answer

Binomial distribution


The number of combinations of n objects taken r at a time has a reserved symbol nCr. On calculators it has a special key (or shifted key) marked nCr.
By definition nCr=(n!)/((r!)*(n-r)!)=nC(n-r)
In what follows, I am using parentheses to enclose what is in the denominators). So
10!/(8!2!)=10C2 or 10C8 =45 (they have the same value)
10!/(9!1!)=10C9=10C1=10
10!/(10!0!)=1

Feb 04, 2014 | Texas Instruments TI-34 Scientific...

1 Answer

Binompdf binomial binomcdf


Do you have a question about the binomial probability distribution function or the binomial cumulative distribution function?

Nov 14, 2013 | Casio FX570ES Scientific Calculator

1 Answer

Probability distribution n=2 x=2 p=.80 P(2)


There are a lot of probability distributions: binomial, chi-square, F, normal, poisson, and t, just to name a few. Do you have a particular one in mind?

Oct 14, 2013 | Texas Instruments TI30Xa SE Scientific...

1 Answer

Binomial function


Hello,

The binomial probability distribution is defined as
P(r;p;n) =(nCr)(p^r)*(1-p)^(n-r)
where n is the number of trials, p the probability of success, and r the expected result.

Let n=20, r=7, p=0.15 ( I do not know wether this exemple has any meaning in the context of your problem, but you have to enter values that mean something to you. I am only showing you the key strokes

To enter 20C7 you press 20 [SHIFT][nCr]7 ;
To enter 0.15 to the power 7 you type 0.15[X to ] 7 the key is between
[x²] and [log]

To enter (1-0.15) to power 20-7, you type 0.85 [X to] 13
With [*] standing for multiplication key , and [X to] the raise to power key, the exemple above can be entered as

( 20 [SHIFT][nCr] 7) [*] ( 0.15 [X to] 7 ) [*] ( 0.85 [X to] 13 ) [=]

Here is a screen capture to show you what it looks like. However on this calculator the combination 20 [SHIFT][nCr] 7 is represented as nCr(20,7).

e74be60.jpg

Hope it helps

Nov 12, 2009 | Casio FX-115ES Scientific Calculator

3 Answers

Binomial function in calculator fx-911ES


Hello,

The binomial probability distribution is defined as
P(r;p;n) =(nCr)(p^r)*(1-p)^(n-r)
where n is the number of trials, p the probability of success, and r the expected result.

Let n=20, r=7, p=0.15 ( I do not know wether this exemple has any meaning in the context of your problem, but you have to enter values that mean something to you. I am only showing you the key strokes

To enter 20C7 you press 20 [SHIFT][nCr]7 ;
To enter 0.15 to the power 7 you type 0.15[X to ] 7 the key is between
[x²] and [log]

To enter (1-0.15) to power 20-7, you type 0.85 [X to] 13
With [*] standing for multiplication key , and [X to] the raise to power key, the exemple above can be entered as

( 20 [SHIFT][nCr] 7) [*] ( 0.15 [X to] 7 ) [*] ( 0.85 [X to] 13 ) [=]

Here is a screen capture to show you what it looks like. However on this calculator the combination 20 [SHIFT][nCr] 7 is represented as nCr(20,7).

e74be60.jpg

Hope it helps

Nov 03, 2009 | Casio FX-115ES Scientific Calculator

1 Answer

I was told that, to do binomial distributions on a ti-86, I would need to hit 2nd Math, then More, and I should see something that says STAT and go from there to get to DIST and Binomi. I see nothing...


Hello,

Sorry, but you information is wrong, to find the binomial distribution use the PROB menu not the STAT menu. Its name is randBi
[2nd][MATH][F2:PROB] scroll right.
Hope it helps.

Oct 10, 2009 | Texas Instruments TI-86 Calculator

1 Answer

Error message with binopdf function


Yes, eleven million is rather extreme for the binomial distribution. For this large a value the binomial distribution is sufficiently indistinguishable from the normal approximation.

Apr 15, 2009 | Texas Instruments TI-84 Plus Calculator

2 Answers

BINOMIAL DISTRIBUTION


Hello,
Let us start with a review of the formula for the binomial distribution
f(r;n,p)=n!/(r!(n-r)!)x(p^r)x(1-p)^(n-r)

But n!/(r!(n-r)!)=(nCr) you get
f(r;n,p)= (nCr)x(p^r)x(1-p)^(n-r)

Exemple : n=25, r=6, p=0.7

f(6;25,0.7)= 25 [PRB] [-->] 6 [ x ] {0.7[ ^] 6 }[ x ]{0.3[ ^ ]19}

The arrow means a horizontal scroll once to select the (nCr) function. [ x ] stands for the multiplication sign.
[ ^] is the raise to the power key
The { } are used here as parentheses to make formula legible.

Hoe it helps

Hope it helps

Hope it helps.

Mar 08, 2008 | Texas Instruments TI-30 XIIS Calculator

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