Question about Texas Instruments TI-30 XIIS Calculator

# BINOMIAL DISTRIBUTION HOW DO I ENTER THE BIONOMIAL DISTRIBUTION FORMULA INTO THE TI-30XIIS

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• Anonymous Apr 03, 2008

p=0.70, n=7,r=5

• Will Oct 10, 2012

How do you apply this for > or < a number of results?

• Will Oct 10, 2012

What about for > or < a number of results? i.e. n=120, p=.02, and r>1

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• Texas Instru... Master

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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• Contributor

Five items are selected at random from a production line. Whiat is the probability of selecting exactly two defectives if it is known that the probability of a defective item from this production system is 0.05?

P(2)= 5! 0.05^2(1 - 0.05)^5-2
2!(5-2)!

Posted on Sep 23, 2010

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Hope it helps.

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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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