prob stat: Events A & B are s.t P(A)=.3, P(B)=0.4, P(A n B)=0.1. Find a) P(AnB') b)P(A' n B')

2nd fight

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MP 2000 Hindustan: Evaluate ∫(tan(x)+cot(x))^2 dx

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RPET 2003 Hindustan: integral ∫sin^4(x)-cos^4(x) dx

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prob stat: The discrete r.v. W has prob dist. as shown

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2nd way: sq rt log integral ∫√√√(x) ln(x) dx

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log integral ∫ln(1/x)/x^2 dx

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4 ways: Evaluate Σ(2k+1) k=1,20

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integral ∫(2x+3)/(4x^2+1) dx

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prob stat The prob of events A & B are P(A) & P(B) respectively P(A)=5/12, P(A n B)=1/6, P(AuB)=q.

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prob stat: In how many ways can a hand of 4 cards be dealt from an ordinary pack of 52 playing cards

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2nd way: log sq rt ∫ln(ax+b)/n√(ax+b)^m dx

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prob stat: A & B are 2 events s.t P(A)=8/15, P(B)=2/3, & P(AnB)=1/5. Are A & B exhaustive events

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prob stat: For events A & B it is known that P(A)=P(B), P(AnB)=0.1 & P(AuB)=0.7. Find P(A')

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prob stat: For events A & B it is known that P(A)=2/3, P(AuB)=3/4 & P(AnB)=5/12. Find P(B)

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integral ∫(x^2+2x)/(x^2+2x+2) dx

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2 ways: diff eq Solve dy/dx=y-1

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Alternate way: Derivative y=ln((x^4-8)^5/(x^6+5x)cos(x))

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3 ways: derivative e^y=x

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prob stat: The p.d.f of a discrete r.v. Y is given by P(Y=y)=cy^2 for y=0,1,2,3,4.

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Alternate way: log integral ∫1/(x+xln(2x))

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