Question about Casio FX-115ES Scientific Calculator

# When i enter the binomial probability formula into the casio fx-115es it will not operate. it says that the problem lies in the (n-X)!X! part of the formula. I'm writing everything exactly the way it is in the formula

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• Casio Master

You may be writing the expression as they appear in the formula, but the problem stems from the fact the factorial function increase rather rapidly and you cannot calculate the factorials of numbers larger that 69 which is the limit of the calculator.
However if you use the built in Combination function nCr, you will avoid the problem. In the binomial function, the n!/(r!(n-r)!) factor can be replaced by nCr or nC(n-r).

Do not use the explicit form with the factorials because you will get an overflow.

Posted on Nov 16, 2010

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Posted on Jan 02, 2017

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### How do I compute binomial Probability distribution on a casio fx 115 es

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### How to use binomial in calculator

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).

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### 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).

Hope it helps

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### 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).

Hope it helps

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### Inputing factors on a casio fx-115es calculator

Unless I am failing to understand your problem, just combine like terms to get:
9x^2+2x+4 and then enter those coefficients into the quadratic solver.
That will get you the two answers -- both of them will be complex.
If you wanted to turn those two answers into factors (complex) of the original equation simply
change the signs on each and put an x in front.
Of course, the quadratic formula would also work.
CG

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