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March 29, 2024, 01:49:12 am

Author Topic: VCE Methods Question Thread!  (Read 4802443 times)  Share 

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Volt Tec Rep

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Re: VCE Methods Question Thread!
« Reply #19230 on: September 10, 2021, 03:07:03 pm »
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Hello everyone,

So I just had a question about the 3&4 Methods course. I’ve heard from quite a few people that the probability topic is actually quite difficult. Could someone please clarify why it’s so hard? For the past few years probability hasn’t been too bad (I have yet to do 1&2 probability though 😅)

Thank you!

Sine

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Re: VCE Methods Question Thread!
« Reply #19231 on: September 10, 2021, 03:11:47 pm »
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Hello everyone,

So I just had a question about the 3&4 Methods course. I’ve heard from quite a few people that the probability topic is actually quite difficult. Could someone please clarify why it’s so hard? For the past few years probability hasn’t been too bad (I have yet to do 1&2 probability though 😅)

Thank you!
I think the difficulty would really depend on the actual student, some would find it easier whilst others may find it harder. I think for those who find it harder it may be because probability questions tend to be more application-style questions where you may need to understand the content a bit better and apply the content to a real-life situation so it goes a little bit beyond just the number-crunching and brute force that you may be able to use to get through other topics. However, the types of probability questions tend to be quite similar so if you know the content well enough and have had enough practice using practice exams you should be fine.

a weaponized ikea chair

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Re: VCE Methods Question Thread!
« Reply #19232 on: September 10, 2021, 07:46:37 pm »
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don't know if this is right place to post but:

can someone estimate my ss:

SAC 1 - 91%
SAC 2 - 82%
SAC 3 - 84%

Fith/sixth in class, average cohort (average was in sixties for all the sacs)

thanks

Sine

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Re: VCE Methods Question Thread!
« Reply #19233 on: September 10, 2021, 07:52:42 pm »
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don't know if this is right place to post but:

can someone estimate my ss:

SAC 1 - 91%
SAC 2 - 82%
SAC 3 - 84%

Fith/sixth in class, average cohort (average was in sixties for all the sacs)

thanks
This information is probably not enough to give an accurate estimation. What sort of scores would you be expecting on the exam?

a weaponized ikea chair

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Re: VCE Methods Question Thread!
« Reply #19234 on: September 10, 2021, 08:00:55 pm »
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This information is probably not enough to give an accurate estimation. What sort of scores would you be expecting on the exam?


84% exam one

75% exam two

Sine

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Re: VCE Methods Question Thread!
« Reply #19235 on: September 10, 2021, 08:04:43 pm »
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84% exam one

75% exam two
Maybe around mid-high 30s

a weaponized ikea chair

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Re: VCE Methods Question Thread!
« Reply #19236 on: September 10, 2021, 08:07:02 pm »
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Maybe around mid-high 30s
raw or scaled?

Sine

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Re: VCE Methods Question Thread!
« Reply #19237 on: September 10, 2021, 08:08:18 pm »
+2

applepiess

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Re: VCE Methods Question Thread!
« Reply #19238 on: September 10, 2021, 11:41:37 pm »
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can you also calculate my study score too:
sac 1 - 50%
sac 2 - 55%
sac 3 - 55%
(class average 60-65%)
exam 1 - 55%
exam 2 - 55%

Volt Tec Rep

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Re: VCE Methods Question Thread!
« Reply #19239 on: September 13, 2021, 02:03:46 pm »
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I think the difficulty would really depend on the actual student, some would find it easier whilst others may find it harder. I think for those who find it harder it may be because probability questions tend to be more application-style questions where you may need to understand the content a bit better and apply the content to a real-life situation so it goes a little bit beyond just the number-crunching and brute force that you may be able to use to get through other topics. However, the types of probability questions tend to be quite similar so if you know the content well enough and have had enough practice using practice exams you should be fine.

Great, thank you for the response you’ve definitely cleared quite a lot up :))

Rose34

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Re: VCE Methods Question Thread!
« Reply #19240 on: September 14, 2021, 09:58:47 am »
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Hey guys,
Does anyone know how to do this question?
Someone on YouTube defined each of the options and then used 'judge' function but I don't have the calculator they have so I'm not sure. I use CAS.

saransh

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Re: VCE Methods Question Thread!
« Reply #19241 on: September 14, 2021, 10:09:27 am »
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Hey guys,
Does anyone know how to do this question?
Someone on YouTube defined each of the options and then used 'judge' function but I don't have the calculator they have so I'm not sure. I use CAS.

Yup so on the cas: first define f(x) as one of the options
so let's take option A)- define f(x)= 1/(x^2+4)
and then type in the qstn given:  f(2x) = (f(x))^2 -2, (cas will give you an eqtn back)
you basically redefine f(x) and try this for all the options until the calculator says 'true' rather than feedin you back an equation

so if we try option D)-  define f(x)= e^x + e^-x
f(2x) = (f(x))^2 -2 (cas will say true)
that proves that its true for all real x
Hope that clears it up
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Rose34

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Re: VCE Methods Question Thread!
« Reply #19242 on: September 14, 2021, 10:28:04 am »
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Yup so on the cas: first define f(x) as one of the options
so let's take option A)- define f(x)= 1/(x^2+4)
and then type in the qstn given:  f(2x) = (f(x))^2 -2, (cas will give you an eqtn back)
you basically redefine f(x) and try this for all the options until the calculator says 'true' rather than feedin you back an equation

so if we try option D)-  define f(x)= e^x + e^-x
f(2x) = (f(x))^2 -2 (cas will say true)
that proves that its true for all real x
Hope that clears it up


Thank you so much!

LSimons

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Re: VCE Methods Question Thread!
« Reply #19243 on: September 23, 2021, 11:50:20 am »
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Just curious as to everyone's approach when rounding values in a binomial distribution when using the standard deviation. I'm not sure why it seems that the bottom value is always rounded up and the top value is rounded down. I would have thought that both values would round out (small value down and large value up) to ensure that the appropriate standard deviation is included in the interval. See attached, any help would be appreciated.

wingdings2791

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Re: VCE Methods Question Thread!
« Reply #19244 on: September 23, 2021, 01:57:16 pm »
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Just curious as to everyone's approach when rounding values in a binomial distribution when using the standard deviation. I'm not sure why it seems that the bottom value is always rounded up and the top value is rounded down. I would have thought that both values would round out (small value down and large value up) to ensure that the appropriate standard deviation is included in the interval. See attached, any help would be appreciated.

Hello LSimons,
I think the reason for this rounding approach is because underestimation is preferred to overestimation. Since the entire purpose of a confidence interval is to indicate a range where you can be sure that a certain proportion of data (95% in this case) lies, you would want to round to a smaller interval (so that the rounded confidence level is actually >95%), rather than a larger interval (where <95% of data will lie in, meaning your confidence interval is more uncertain than the actual).

Also, the approximation of \(Z\) (1.959963985 \(\approx\) 2) also means that your calculated standard deviation is greater than it actually is. Rounding outwards on each side of the interval would further compound the overestimation of the confidence interval; rounding the bottom up and top down would reflect the actual values more closely.

Hope this helps! Let me know if there are any problems.
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