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prob stat In a sample of n= 6 scores, 5 of the scores are each above the mean by one point.
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Alternate way: Find 1+2+3+... +(n-1)+n via "polynomial degree 2"
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1st/2ways: Find the sum 1/7, 10/21, 17/21, 24/21, 31/21 via median.
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count quick review: Permutation vs Combination
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2 ways: derivative x √√x
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exp integral e^x (f(x) + f'(x)) dx
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Screen Recording 2024-05-18 at 11.12.27 PM
Ada Cewe mabuk jangan diapa-apain ( Anime on Crack Indonesia Episode 156 )
2nd/3ways: exp Derivative x^x
2 ways: trig show tan(2x)=2tan(x)/1-tan^2(x))
2nd way: integral ∫1/(a + √√b (x^2)) dx
2.5 ways: trig derivative x sin(x) cos(x)
2nd/2ways: trig Evaluate (sin^6(x) + cos^6(x))/(sin^2(x) cos^2(x)) dx
pascal triangle: count comb Show nCk = (n-1)Ck + (n-1)C(k-1)
1st way: count values nPn, nP(n-1), nP(n-2)
count Show Σ k^2 = ΣΣmin(i,j) where i,j,k=1 to n
alternate way: count sum 1 + 2 + 3+... + n via "polynomial"
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3 ways: ∫ (3x+11)/(x^2-x-6) dx
Find 1) E(X) 2) E(3X) 3) E(3x+2)
2 ways: ∫ 1/(10x^2 -x-21) dx