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April 19, 2026, 08:02:08 pm
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Author Topic: Questions: VCAA 2010 Sample/Use of Infinity in Probability  (Read 881 times)  Share 

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mattrossi1

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Questions: VCAA 2010 Sample/Use of Infinity in Probability
« on: November 07, 2011, 05:13:00 pm »
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Hello,

I'm looking at question 7 of the 2010 VCAA Exam 1 Sample Paper.  Would anyone here be able to explain how it is done without the calculator?  I've looked at the iTute solution, but I don't quite understand the process of how they reached it.  Any ideas?

Also, another question relating to the integration of a continuous probability function to find the probability, how should a terminal of infinity be treated without a calculator?

If anyone could help out, it would be greatly appreciated.  Thanks.

http://www.vcaa.vic.edu.au/vcaa/vce/studies/mathematics/cas/publications/mmcas1-sampfin-w.pdf.
http://www.itute.com/wp-content/uploads/solutions-to-the-2010-vcaa-mathematical-methods-_cas_-exam-1-sample-questionsv3.pdf
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dc302

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Re: Questions: VCAA 2010 Sample/Use of Infinity in Probability
« Reply #1 on: November 07, 2011, 05:25:25 pm »
+1
edit: nvm, looked at the wrong exam  8)
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mattrossi1

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Re: Questions: VCAA 2010 Sample/Use of Infinity in Probability
« Reply #2 on: November 07, 2011, 05:35:42 pm »
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hehe fair enough.

i've included links in the OP to the paper I was referring to
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Vincezor

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Re: Questions: VCAA 2010 Sample/Use of Infinity in Probability
« Reply #3 on: November 07, 2011, 05:40:47 pm »
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Use the steady state matrix formula?



Multiply through and find x? :S

EDIT: I THINK that's the formula... I've only ever seen it once in a methods exam 1.

Also T = the transition matrix

You only need to multiply the first value in the top left value in the Transition matrix by x and solve... am I too confusing?
« Last Edit: November 07, 2011, 05:42:51 pm by Vincezor »
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AleksIlia

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Re: Questions: VCAA 2010 Sample/Use of Infinity in Probability
« Reply #4 on: November 07, 2011, 05:44:42 pm »
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Quote from: Vincezor on November 07, 2011, 05:40:47 pm
Use the steady state matrix formula?



Multiply through and find x? :S

This
EDIT: I THINK that's the formula... I've only ever seen it once in a methods exam 1.

Also T = the transition matrix

You only need to multiply the first value in the top left value in the Transition matrix by x and solve... am I too confusing?
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Greatness

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Re: Questions: VCAA 2010 Sample/Use of Infinity in Probability
« Reply #5 on: November 07, 2011, 05:55:00 pm »
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Quote from: Vincezor on November 07, 2011, 05:40:47 pm
Use the steady state matrix formula?



Multiply through and find x? :S

EDIT: I THINK that's the formula... I've only ever seen it once in a methods exam 1.

Also T = the transition matrix

You only need to multiply the first value in the top left value in the Transition matrix by x and solve... am I too confusing?
Nah yuore right :)
your answer/equation would be a*x + b*(1-x) = x
solve for x and that is your steady state probability
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mattrossi1

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Re: Questions: VCAA 2010 Sample/Use of Infinity in Probability
« Reply #6 on: November 07, 2011, 11:12:06 pm »
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wow, i've never seen that before tonight...  thanks :)
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