Mathematics > GCSE QUESTION PAPER > OCR GCE AS Level Mathematics B (MEI)H630-02 Pure Mathematics and Statistics Advanced Subsidiary GCE (All)
Formulae AS Level Mathematics B (MEI) (H630) Binomial series (a b)n an nC an b nC an b ... nC a b ... b r n r r n 1 1 2 + = + – + –2 2 + + – + + ^n ! Nh, where ! ! ! nr r n r nC C n ... r = n r = = - J L KK ^ N P OO h ! ... ! ... x nx ... n n x r n n n r 1 1 2 x n 1 2 1 1 r + = + + - + + - -+ ^ + ^ ^ ^ h h h h ^ x 1 1, n ! Rh Differentiation from first principles 0 lim f f f ( ) ( ) x h x h x = + - h" l ^ h Sample variance s n 1 S 1 xx 2 = - where S (x x x n x xx i i x nx i i 2 2 2 = --) = - = 2 - -2 ^ h / / / / Standard deviation, s = variance The binomial distribution If X + B^n, ph then P(X r) nC p q r = = r n-r where q = 1-p Mean of X is np Kinematics Motion in a straight line v = u+at s ut at 2 = + 1 2 s (u v)t 2 = 1 + v2 = u2 +2as s vt at 2 = - 1 2 3 © OCR 2021 H630/02 Oct21 Turn over Answer all the questions. 1 Find the coefficient of x4 in the expansion of (1+3x)6 . [3] 2 Mia rolls a six-sided die 24 times and records the scores. She displays her results in a vertical line chart. This is shown in Fig. 2.1. 1 0 2 frequency 4 6 8 2 3 4 score on die Scores on a six-sided die 5 6 Fig. 2.1 (a) Describe the shape of the distribution. [1] She repeats the experiment, but this time she rolls the die 50 times. Her results are displayed in [Show More]
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