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November 08, 2025, 02:26:42 pm

Author Topic: VCE Methods Question Thread!  (Read 5782876 times)  Share 

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kensan

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Re: VCE Methods Question Thread!
« Reply #870 on: September 06, 2012, 08:32:37 pm »
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Ok Bhuth-ni-ke
By CAS i do it like this,
 binomCdf(100,0.1,0,9) got the boundaries round the wrong way, should be 9-100    (number of trials, success probability, lower bound, upper bound)
And I get  0.45129 0.6791
I think it would be fairly time consuming to do it by hand, probably a CAS question imo, hopefully someone can confirm.
« Last Edit: September 06, 2012, 09:08:29 pm by kenoy »
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Bhootnike

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Re: VCE Methods Question Thread!
« Reply #871 on: September 06, 2012, 08:42:14 pm »
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the answer is 0.6791 .. :\
i understand what you did - u didnt put any value for 'upper bound' right?
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Jenny_2108

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Re: VCE Methods Question Thread!
« Reply #872 on: September 06, 2012, 08:42:45 pm »
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Quote
Find the probability of getting at least nine successes in 100 trials for which the probability of success is p = 0.1.


2 questions:

1.is this a calc question?
2. how do you do it lol

The question said at least 9, so lower bound should be 9, upper bound is 100

I believe its CAS ques. You can do it by hand by using combinations but its too long and takes lots of time

Jenny_2108

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Re: VCE Methods Question Thread!
« Reply #873 on: September 06, 2012, 08:44:20 pm »
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the answer is 0.6791 .. :\
i understand what you did - u didnt put any value for 'upper bound' right?

yep, the answer should be 0.679126
Put in CAS: binomCdf(100,0.1,9,100) then enter

pi

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Re: VCE Methods Question Thread!
« Reply #874 on: September 06, 2012, 08:46:27 pm »
+1
Quote
Find the probability of getting at least nine successes in 100 trials for which the probability of success is p = 0.1.


2 questions:

1.is this a calc question?
2. how do you do it lol


1. No, be a man and draw a tree diagram.

(or go Pr(x>=9) = Pr(x=1) + Pr(x=2) + ... + Pr(x=8) where Pr(x=y) = 100Cy * (.1)^y * (.9)^(100-y) )
« Last Edit: September 06, 2012, 08:51:07 pm by LovesPhysics »

Bhootnike

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Re: VCE Methods Question Thread!
« Reply #875 on: September 06, 2012, 08:53:50 pm »
0
Quote
Find the probability of getting at least nine successes in 100 trials for which the probability of success is p = 0.1.


2 questions:

1.is this a calc question?
2. how do you do it lol

The question said at least 9, so lower bound should be 9, upper bound is 100

I believe its CAS ques. You can do it by hand by using combinations but its too long and takes lots of time
thanks for that, i get it now!! :)
if i was to do it by hand, i'd have to write nCr out 91 times right..?

Quote
Find the probability of getting at least nine successes in 100 trials for which the probability of success is p = 0.1.


2 questions:

1.is this a calc question?
2. how do you do it lol


1. No, be a man and draw a tree diagram.

(or go Pr(x>=9) = Pr(x=1) + Pr(x=2) + ... + Pr(x=8) where Pr(x=y) = 100Cy * (.1)^y * (.9)^(100-y) )
the way you mentioned, thats shorter than writing ncr 91 times, but still, its  8 times! too much writing ;p
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kensan

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Re: VCE Methods Question Thread!
« Reply #876 on: September 06, 2012, 08:55:24 pm »
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Quote
Find the probability of getting at least nine successes in 100 trials for which the probability of success is p = 0.1.


2 questions:

1.is this a calc question?
2. how do you do it lol

The question said at least 9, so lower bound should be 9, upper bound is 100

I believe its CAS ques. You can do it by hand by using combinations but its too long and takes lots of time
whops XD yeah got the boundaries wrong haha
2013: BSc at UoM

Jenny_2108

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Re: VCE Methods Question Thread!
« Reply #877 on: September 06, 2012, 08:58:20 pm »
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the way you mentioned, thats shorter than writing ncr 91 times, but still, its  8 times! too much writing ;p

haha and imagine we have to calculate by hand 0.1^n and 0.9^(100-n) :P

Anyway, its for CAS so dw  :D


barydos

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Re: VCE Methods Question Thread!
« Reply #878 on: September 07, 2012, 11:35:02 am »
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hey just want to clarify with this question


the answer says A, but I think it's C, is the book wrong? :S
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tony3272

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Re: VCE Methods Question Thread!
« Reply #879 on: September 07, 2012, 12:05:18 pm »
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hey just want to clarify with this question
(Image removed from quote.)

the answer says A, but I think it's C, is the book wrong? :S
I got A as the answer. It's the integral from x=0 to x=20 of x f(x). Are you sure you plugged that in right?
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BubbleWrapMan

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Re: VCE Methods Question Thread!
« Reply #880 on: September 07, 2012, 05:35:08 pm »
+1
The answer should be 3 times the expected value.
Tim Koussas -- Co-author of ExamPro Mathematical Methods and Specialist Mathematics Study Guides, editor for the Further Mathematics Study Guide.

Current PhD student at La Trobe University.

tony3272

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Re: VCE Methods Question Thread!
« Reply #881 on: September 07, 2012, 06:32:26 pm »
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The answer should be 3 times the expected value.
^ >__< this. . .

Didn't read the end of the question lol. .
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barydos

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Re: VCE Methods Question Thread!
« Reply #882 on: September 07, 2012, 08:12:10 pm »
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Alright cool thanks, just double checking!
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nangwo

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Re: VCE Methods Question Thread!
« Reply #883 on: September 07, 2012, 08:18:19 pm »
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I was wondering with the process of graphing the derivative of a graph, is the shape something you should just know off by heart? I know graphs like x^4 become x^3 to x^2 and then linear, but what about graphs with a rational power?

Jenny_2108

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Re: VCE Methods Question Thread!
« Reply #884 on: September 07, 2012, 10:28:52 pm »
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I was wondering with the process of graphing the derivative of a graph, is the shape something you should just know off by heart? I know graphs like x^4 become x^3 to x^2 and then linear, but what about graphs with a rational power?

About graph with a rational power, you find derivative then graph it.
There are some basic shapes with rational power graphs. I just remember it
I doubt they have this kind of question in exam 1

« Last Edit: September 07, 2012, 10:30:54 pm by Jenny_2108 »