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Mathematics: Post your doubts here!

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(i)
So P(X=0) means when no blue is taken,
it will be
7/1o x 6/9 x 5/8 x 4/7 = 1/6
first 7 orange from 10 total, then 6 from 9 total (because one is taken) etc..

P(X=1)
(7x6x5x3) / (10x9x8x7) x 4 = 1/2
we will take 3 from orange so first 7 then 6 then 5 left, for blue we take once so only 3
down is total number, that is, 10 then 9 , 8 ,7
x4 because blue can be taken first second third or fourth

(ii)
for 0 we know 1/6
for 1 we know 1/2
for 2 it will be 4C2 x (3x2x7x6) / (10x9x8x7) = 3/10 [i take 4 combine 2 to get how many ways can we get 2 blues]
for 3 it will be 4C3 x (3x2x1x7) / (10x9x8x7) = 1/30

X=x..... || 0 || 1 || 2 |||| 3 |
P(X=x) |1/6|1/2|3/10| 1/30|

Thanks a lot PhyZac !!That was really helpful....May you pass with excellent grades .Ameen.I also posted a question in Physics thread any help will be highly appreciated :)
 
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I've watched the video. It still doesn't make sense. If you take the class boundaries as 0 and 9.5, you'll get the midpoint as 4.75, whereas the mark scheme clearly states it as 4.5. That's what I don't understand!!!!!!!!!!!!!!!!!!!!!!!!!
Well, May Allah S.W.T help you with this thing! Aameen.
I think it is a matter of acceptance.
 
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daredevil
They told us that 225 out of the 900 cartons has more than 1002 milliliters. So what is the probability that a carton has more than 1002 milliliters? It's 225/900= 0.25. So if we were to standardize 1002 milliliters, you'd get a z value that would correspond to a probability of 0,25 in the normal distribution table. But you don't have 0.25 in the table, so you (1-0.25 = 0.75). So the probability that you would be looking for in the table is 0.75. Which is 0.674. Since the probability is GREATER than 1002, the sign won't change in this case.
oooh thanks... i was thinking about subtracting some but lost my bearings so couldn't wrap my head around wat to subtract even though it was pretty clear... thanks a bunch (y)
 
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ok look here:
P(A) = 1/3
P(B) = 5/9

are these events mutually exclusive??
plz give an explnation too like working and all cz i'm not sure if i'm doing it ryt...

also explain if they are independant events...
and are they exhaustive events...
again with the working and stuff. thanks a lot :)
 
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ok look here:
P(A) = 1/3
P(B) = 5/9

are these events mutually exclusive??
plz give an explnation too like working and all cz i'm not sure if i'm doing it ryt...

also explain if they are independant events...
and are they exhaustive events...
again with the working and stuff. thanks a lot :)

LOL.. one can't solve it without the data... It can be both... link the question.
 
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ok look here:
P(A) = 1/3
P(B) = 5/9

are these events mutually exclusive??
plz give an explnation too like working and all cz i'm not sure if i'm doing it ryt...

also explain if they are independant events...
and are they exhaustive events...
again with the working and stuff. thanks a lot :)

C,
for 2 events A n B...
if P(A intersection B)= P(A)*P(B)
then A n B are independent!
If P(A intersection B )=0
then A n B are mutually exclusive!

this is the general explanation!! But like syed1995 i wud say u nid to link d question --- here u hv nt given enough data to graw conclusion u c!
 
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LOL.. one can't solve it without the data... It can be both... link the question.
i dnt have the link .. its in my past paper topical and the address of the papr is not given. but i'll try to send a picture of it. wait
 
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http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_qp_32.pdf
http://papers.xtremepapers.com/CIE/Cambridge International A and AS Level/Mathematics (9709)/9709_s12_ms_32.pdf

Q9 ii) I can't seem to get the answer, even though I think I'm integrating it right.
We have to integrate x lnx^2
I'm doing it by integration by parts but I don't get the answer as in the marking scheme..
Anyone? Please show me the workings

applepie1996
sorry i couldn't so your question :(
i got a little busy
but if you still don't get it :)
i can explain it to you :)
 
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