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2023 OCR AS MATHEMATICS B MEI QUESTION PAPER 2 [H630/02: Pure Mathematics and Statistics]Â Â
Â
Binomial series
( ) a b a C C a b a b ... C a b ... b n n n n n n n
r
n r r n
1
1
2
– –2 2 – = ^n ! Nh,
where ! !
n !
r r n r
n C C n
r n r = = = -
J
L
K
K ^
N
P
O
O h
! ... !
... x nx ... n n
x
r
n n n r
1 1 x 2
n 1 1 1 2 r = - - - ^ ^ ^ ^ h h h h ^ x n 1 1, ! Rh
Differentiation from first principles
0
lim
f f
f ( ) ( )
x h
x h x = -
h" l ^ h
Sample variance
s
n
S 1
1 xx
2 = - where S x( x x
n
x
x nx xx i i
i
i
2 2
2
2 2 = - = - = - - - ) ^ h / /
/
/
Standard deviation, s = variance
The binomial distribution
If X n B , ^ ph then P (X r) C p q n
r
r n r = = - where q p = -1
Mean of X is np
| Author | Future Focus |
| Published | 30 Jul 2024 |
| Included files | |
OCR GCE A LEVEL BIOLOGY A PAPER 1 MARK SCHEME 2023...
OCR GCE A LEVEL BIOLOGY A PAPER 1 QUESTION PAPER 2...
OCR GCE A LEVEL BIOLOGY A PAPER 2 QUESTION PAPER 2...
OCR GCE A LEVEL BIOLOGY A PAPER 2 MARK SCHEME 2023...
OCR GCE A LEVEL BIOLOGY A PAPER 3 QUESTION PAPER 2...
OCR GCE A LEVEL BIOLOGY A PAPER 3 MARK SCHEME 2023...
OCR GCE A LEVEL CHEMISTRY A PAPER 1 QUESTION PAPER...
OCR GCE A LEVEL CHEMISTRY A PAPER 1 MARK SCHEME 20...
OCR GCE A LEVEL CHEMISTRY A PAPER 2 QUESTION PAPER...
OCR GCE A LEVEL CHEMISTRY A PAPER 2 MARK SCHEME 20...
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