Question about Texas Instruments TI-86 Calculator

# Ti-86 binomial distribution

Binomial distribution

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## 6 Suggested Answers

### 6ya staff

• 2 Answers

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Posted on Jan 02, 2017

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### k24674

• 8081 Answers

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

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### k24674

• 8081 Answers

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

• 8081 Answers

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

• 102366 Answers

Do you have the Stats/List-Editor app loaded? If not, you can download it from http://education.ti.com

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

• 8081 Answers

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

Posted on Mar 29, 2010

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1 Answer

### 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.

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### 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

### 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

### 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

Oct 09, 2009 | Texas Instruments TI-30 XIIS 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

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### Ti 86 math problem

Piper, You can download a manual: http://education.ti.com/educationportal/appsdelivery/download/download_eula.jsp?applicationId=6127&contentPaneId=17&cid=US courouge

Sep 20, 2007 | Texas Instruments TI-86 Calculator

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