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VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: Timtasticle on November 10, 2007, 08:13:51 pm

Title: Difference between binompdf and binomcdf?
Post by: Timtasticle on November 10, 2007, 08:13:51 pm
...is?
Title: Difference between binompdf and binomcdf?
Post by: Collin Li on November 10, 2007, 08:17:05 pm
Yep!

binompdf(n,p,x) = Pr(X = x)
binomcdf(n,p,x) = Pr(X ≤ x)

The "c" stands for cumulative, and that's why it's Pr(X ≤ x). If you want to find Pr(X ≤ 4), you'd accumulate the probabilities of getting X = 0, 1, 2, 3, 4.
Title: Re: Difference between binompdf and binomcdf?
Post by: rustic_metal on November 10, 2007, 08:17:55 pm
Quote from: "Timtasticle"
...is?


i believe binompdf is for one value (i.e. Pr(X=x)) whereas binomcdf is cumulative (i.e. Pr(X>x))

not 100% sure though
Title: Difference between binompdf and binomcdf?
Post by: Timtasticle on November 10, 2007, 08:18:05 pm
Aaaah I love you FSN.
Title: Difference between binompdf and binomcdf?
Post by: rustic_metal on November 10, 2007, 08:19:54 pm
damnit beaten.

was i even right?  :?
Title: Difference between binompdf and binomcdf?
Post by: Toothpaste on November 10, 2007, 08:23:11 pm
Quote from: "rustic_metal"
damnit beaten.

was i even right?  :?


First one's right, second one's wrong.

binomcdf(n,p,x) = Pr(X ≤ x)

You had the arrow the other way. But cool that you've looked into it.
Title: Difference between binompdf and binomcdf?
Post by: kido_1 on November 10, 2007, 09:06:45 pm
Binomcdf is usually used with the terms 'at least' (1-binomcdf...)

Binompdf is usually used for exact. For instance 3 out of 5.
Title: Difference between binompdf and binomcdf?
Post by: bilgia on November 10, 2007, 09:24:23 pm
does everyone have 'prcheat' the calc program??? its a time saver, especially for multi choice qns
Title: Difference between binompdf and binomcdf?
Post by: Toothpaste on November 10, 2007, 09:36:26 pm
I only have Factor 9 .. cbf putting 10 on. Lol.

Is Prcheat necessary?..
Title: Difference between binompdf and binomcdf?
Post by: bilgia on November 10, 2007, 09:39:30 pm
pr cheat is very easy to use
u have options binomial, normal, std normal etc...
and then u input mean, s.d, no of elements etc...
and then u can choose >,=,>=,<= and so forth...
no need to manually do anything
Title: Difference between binompdf and binomcdf?
Post by: maxleng on November 10, 2007, 09:59:38 pm
Quote from: "Toothpick"
I only have Factor 9 .. cbf putting 10 on. Lol.

Is Prcheat necessary?..


ive never actualy used it on a Q, better to do it manualy so you practise for the MC where the answers arent decimals and for the Qs where you have to show your working

when i first got it i thought "awsome" but have never even used it...
Title: Difference between binompdf and binomcdf?
Post by: kido_1 on November 10, 2007, 10:09:11 pm
I actually don't mind factor 9.
It is a time saver. I do not have Pr cheat though.
Title: Difference between binompdf and binomcdf?
Post by: Collin Li on November 10, 2007, 10:10:35 pm
Quote from: "bilgia"
does everyone have 'prcheat' the calc program??? its a time saver, especially for multi choice qns


IMO, PrCheat is a waste of time. If you know how to use your calculator, it is faster, plus you can do some questions that are not possible on PrCheat (e.g: the ones where you "n" is unknown in binomial).

PrCheat does not give you easy access the value that it returns from your calculations, so you are not sure if your accuracy too. I like using binompdf/binomcdf/invNorm/etc. because I can press Ans to use it with some further calculation down the track.
Title: Difference between binompdf and binomcdf?
Post by: kingmar on November 10, 2007, 10:12:49 pm
Really only two programs are useful, I find. PrCheat and Factor9.

I'm sure most people have Factor 9.

PrCheat, does (as its name suggests) probabilities.

I actually use the inbuilt functions. I find it faster and I can use them as official working out for probability questions.

You can't write "PrCheat" as working.
Otherwise, as an alternative to the inbuilt, it's extremely handy. Just remember to break the program by pressing "ON" - quitting normally has crashed my calc and resetted my RAM (deleting itself in the process) a couple of times...

EDIT: Ah, coblin, is there anything mathematics related you DON'T know? :P
Title: Difference between binompdf and binomcdf?
Post by: kido_1 on November 10, 2007, 10:13:28 pm
Phew, I was wondering what Pr cheat was.
Yet different people may feel comfortable doing different things.
Title: Difference between binompdf and binomcdf?
Post by: kingmar on November 10, 2007, 10:17:30 pm
So in short you don't need it.

The inbuilt means you think more and can express it as working out.

But of course, VCAA don't care as long as you can show the right answer and can prove you didn't use PrCheat to get it. (aka work out)
Title: Difference between binompdf and binomcdf?
Post by: kido_1 on November 10, 2007, 10:21:27 pm
I find Graphics Calc is best for Multiple Choice.
As long as you can get the right answers.

How long does anyone recommend spending on the 22 Multi Choice On Monday?
Title: Difference between binompdf and binomcdf?
Post by: kingmar on November 10, 2007, 10:24:51 pm
half an hour?

i usually spend that long. 80 marks, can't spend more than 1 minute and a bit  per question.
Title: Difference between binompdf and binomcdf?
Post by: kido_1 on November 10, 2007, 10:32:08 pm
Yeh same here. The only problem with MC is when you rush them, you tend to get more wrong(bcz some of them are tricky/dodgy/pain in the ass)
Title: Difference between binompdf and binomcdf?
Post by: Toothpaste on November 10, 2007, 10:36:31 pm
I'm starting with the extended questions, so I don't rush them in the end.

Heh. I'm sorta nervous.
Title: Difference between binompdf and binomcdf?
Post by: kingmar on November 10, 2007, 10:38:13 pm
I'm considering doing extended first. It's time-maximisation again...

Spend time on reading time doing the hard analysis questions. That's my idea. At least I have a 20% chance of guessing the MC.

I have no chance of guessing the analysis questions.
Title: Difference between binompdf and binomcdf?
Post by: Collin Li on November 10, 2007, 10:40:55 pm
Quote from: "kingmar"
Really only two programs are useful, I find. PrCheat and Factor9.

I'm sure most people have Factor 9.

PrCheat, does (as its name suggests) probabilities.

I actually use the inbuilt functions. I find it faster and I can use them as official working out for probability questions.

You can't write "PrCheat" as working.
Otherwise, as an alternative to the inbuilt, it's extremely handy. Just remember to break the program by pressing "ON" - quitting normally has crashed my calc and resetted my RAM (deleting itself in the process) a couple of times...

EDIT: Ah, coblin, is there anything mathematics related you DON'T know? :P


Yeah, I know maths(Ahmad) > maths(coblin) but I don't know what maths(Ahmad) - maths(coblin) equals (I know it's greater than zero!)
Title: Difference between binompdf and binomcdf?
Post by: kingmar on November 10, 2007, 10:43:36 pm
Of course you don't know.

It's UNDEFINED!!! :D:D:D:D
Title: Difference between binompdf and binomcdf?
Post by: Collin Li on November 10, 2007, 10:52:27 pm
I think the limit approaches positive infinity.
Title: Difference between binompdf and binomcdf?
Post by: kingmar on November 10, 2007, 10:58:17 pm
More like IS positive infinity. Or better still, natural log square root negative infinity with domain negative infinity.

Argh, my head hurts.
Title: Difference between binompdf and binomcdf?
Post by: kido_1 on November 11, 2007, 06:33:11 am
My plan is to spot a probability question and do it first( i love prob).(15mins)
Then do some of the extended answers(slowly)(60-80 mins)
Then move on to MC (20 mins)
Check(5-20 mins)
Title: Difference between binompdf and binomcdf?
Post by: dooder on November 11, 2007, 08:02:22 am
is it alright to write something like:

1 - binomcdf(10,0.3,2) = answer

as working for a question?
Title: Difference between binompdf and binomcdf?
Post by: kido_1 on November 11, 2007, 08:07:42 am
It depends how many marks its worth. if its worth two marks then I would put some sort of extra lines, whereas if inly 1 mark i would just chuck in an answer.
Title: Difference between binompdf and binomcdf?
Post by: Collin Li on November 11, 2007, 10:34:55 am
Quote from: "dooder"
is it alright to write something like:

1 - binomcdf(10,0.3,2) = answer

as working for a question?


I would write:
Pr(X > 2) = 1 - binomcdf(10,0.3,2) = answer

Including the calculator function is acceptable, methinks. If you want to be more formal about it, I'm not sure, but they don't really care anyway.
Title: Difference between binompdf and binomcdf?
Post by: Ahmad on November 11, 2007, 10:41:29 am
I think they give marks for writing what you wrote on your calculator. That's how I remember it.
Title: Difference between binompdf and binomcdf?
Post by: bilgia on November 11, 2007, 10:50:36 am
oh so we can write it like that..
i was planning to just do the binomial stuff with teh nCx(p)^x(q)^n-x
Title: Difference between binompdf and binomcdf?
Post by: Collin Li on November 11, 2007, 11:05:49 am
Quote from: "bilgia"
oh so we can write it like that..
i was planning to just do the binomial stuff with teh nCx(p)^x(q)^n-x


That'd be screwed if you were doing Pr(X < 50) for n = 100.

That's where you use binomcdf :)
Title: Difference between binompdf and binomcdf?
Post by: kingmar on November 11, 2007, 11:39:05 am
Quote from: "coblin"
Quote from: "bilgia"
oh so we can write it like that..
i was planning to just do the binomial stuff with teh nCx(p)^x(q)^n-x


That'd be screwed if you were doing Pr(X < 50) for n = 100.

That's where you use binomcdf :)


The probability they will ask that kind of question is 0.

Aside from that, I use binom commands. You can use them as working, it's listed in an Assessment report as legitimate working (and it's faster than typing out the nCr etc...)

Again, writing PrCheat is no good. Assessors are aware of PrCheat, and can't do anything about it - so they make you show working out.
Title: Difference between binompdf and binomcdf?
Post by: kido_1 on November 11, 2007, 12:52:11 pm
You would pretty much spend ages writing it all out.
Binomcdf becomes a good friend there.
Title: Difference between binompdf and binomcdf?
Post by: hifer on November 11, 2007, 02:34:30 pm
how would u find Pr(X => x) ?

Since binomcdf give P(X <= x) dun u have to find Pr(X=x) then minus off from the binomcdf and then take 1 - that ans?

Isn't that a bit troublesome?
Title: Difference between binompdf and binomcdf?
Post by: Ahmad on November 11, 2007, 02:40:41 pm
Pr(X => x) = 1 - Pr(X <= (x-1))