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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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Pantun Melayu [Buah cempedak di luar pagar]
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count quick review: Permutation vs Combination
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#9 2023 MIT Integration Bee Qualifying Exam
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2nd/2 ways: #12 2024 MIT Integration Bee Qualifying Exam
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#1 2024 MIT Integration Bee Qualifying Exam
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#3 2023 MIT Integration Bee Qualifying Exam
prob stat: A family has 2 children. What is the conditional prob that both are boys ...
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2 ways: derivative x √√x
#12 2024 MIT Integration Bee Qualifying Exam
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#3 2024 MIT Integration Bee Qualifying Exam
#8 2020 MIT Integration Bee Quali Exam: integral ∫x/(1-x^4) dx
2nd/2ways: Taylor series of cos(x)
alternate way: count sum 1 + 2 + 3+... + n via "polynomial"
2 ways: trig integral ∫ sin^2(ax+b) dx
#2 2024 MIT Integration Bee Qualifying Exam
2nd way: derivative x^n w.r.t x^x
1st/2 ways: hyper trig exp integral ∫e^x (1+tanh(x)-tanh^2(x)) dx
count: How many subsets does {23,24,25,...,118} have?
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