VCE Methods Question Thread!

[jessss0407]

Let S = Success
Pr(S) = 0.8
You want to find Pr(4S) given that Pr(6 of 8 are successful).

This is also [Pr(4S) intersection Pr(6of8)]/Pr(6of8) --> The Pr(AintB)/Pr(B) formula

To find Pr(4S):
Every shot has to be successful in the first four tries, so we only calculate the probability of succeeding, that is:
(0.8 )^4 = 0.4096

To find Pr(6of8):
This is a binomial distribution. So input into your calc binomCdf(8,0.8,6,8) = 0.7969

To find Pr(4S)intPr(6of8):
This is just the probability of 4 successes coupled with 2 of 4 successes in the next 4 tries.
= (0.8 )^4 x binomPdf(4,0.8,2)
= 0.0629

Final Calculation: 0.0629/0.7969 = 0.07895

Hey, thanks for working this out!

but in the question it says 'give exactly 6/8 are successful'

so instead of doing
"To find Pr(6of8):
This is a binomial distribution. So input into your calc binomCdf(8,0.8,6,8) = 0.7969" as you mentioned, wouldn't it be binomPdf(8,0.8,6) = 0.2936?

Thanks!

[BLACKCATT]

when given a matrix and asked to find the image do we multiply the matrix out and make two equations like this. For example,

3x - 1 = y'
2y + 4 = x'

or is it the other way

3x - 1 = x'
2y + 4 = y'

then solve for x and y and substitute into the image of the curve

It would be the 2nd approach given the matrix equation was;

|3 0| |x|= |-1|
|0 2| |y| = |4|

^I mean to use the square brackets, but it comes out weird so

[myanacondadont]

What's the range of

I graphed it on my CAS and it appears from (-2, infinity) however the answer says the range is R?

[lzxnl]

What's the range of

I graphed it on my CAS and it appears from (-2, infinity) however the answer says the range is R?

Natural logs have range R, just like the exponential has domain R

[keltingmeith]

What's the range of

I graphed it on my CAS and it appears from (-2, infinity) however the answer says the range is R?

(-2, infinity) is the domain of the function - possible brain-fart?

[lzxnl]

(-2, infinity) is the domain of the function - possible brain-fart?

The domain is just R\{2}

[keltingmeith]

The domain is just R\{2}

Whoops, forgot the squared causes a left branch into existence. My bad.

[Yacoubb]

What's the range of

I graphed it on my CAS and it appears from (-2, infinity) however the answer says the range is R?

Given that the domain of that function is R\{2}, the range, in accordance, would be R.

[myanacondadont]

Thankyou all! This puts me on to another question....Is there a difference between R \ {2} and  R / {2} or do they mean the same thing? Half the time I forget which one to use

[kawfee]

How do you change the scale on the graph to pi [CAS]? Hope this makes sense, thanks!

[psyxwar]

Thankyou all! This puts me on to another question....Is there a difference between R \ {2} and  R / {2} or do they mean the same thing? Half the time I forget which one to use

Correct notation is R\{2}, no idea what R/{2} is supposed to be

[IndefatigableLover]

How do you change the scale on the graph to pi [CAS]? Hope this makes sense, thanks!

On the graph page go: [Menu][4][1] and then fiddle around the the scaling till you input it in

[BLACKCATT]

Can someone please explain question 1)f part i, on last years exam 2?
And for part ii) i dont understand why P is multiplied by m, since it's from the y-axis, shouldn't it be multiplied by 1/m

c= sqrt 3 + 2pi/3
X= (2pi/3,0)
P=(2pi/3,sqrt3/2)

[paper-back]

Can a cubic function have 0 stationary points?
If so, isn't that just a linear function?

[BLACKCATT]

Yes it can. It won't be linear, but rather it would look more like a tan graph, which doesn't have stationary points either