Question about Texas Instruments TI-86 Calculator

# Ti-86 binomial distribution

Binomial distribution

Posted by Anonymous on

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Posted on Jan 02, 2017

### k24674

SOURCE: 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.

Posted on Sep 15, 2009

### k24674

Hello,
This is for the TI-30 XIIS. It should work for you once you find the (nCr) key or the menu item under PRB key. If you know the formula skip to Exemple

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.

Hope it helps

Posted on Oct 09, 2009

### k24674

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.

Posted on Oct 10, 2009

### kakima

You can also try StatLite, available from http://www.ticalc.org

Posted on Feb 22, 2010

Testimonial: "Thank you so much!! ONE more thing, do i need a specific usb cable or can i use any usb a to usb mini A cable?"

### k24674

The key is accessed by sequence [2nd] 8
Eg; Selecting 3 out of 5
5C3 is entered as 5 [2nd] 3 [=], result is 10

Posted on Mar 29, 2010

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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.

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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
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### 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.

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### How do i enter the formula into my calc for a binomial distribution? this is for a ti-30xs multiview

Hello,
This is for the TI-30 XIIS. It should work for you once you find the (nCr) key or the menu item under PRB key. If you know the formula skip to Exemple

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.

Hope it helps

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