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P(A) = 0.6,P(B) = 0.3,P(B//A) = 0.2m P(A...

P(A) = 0.6,P(B) = 0.3,`P(B//A) = 0.2m P(AuuB)`=

A

0.84

B

0.78

C

0.12

D

0.7

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Events A,B,C are such that P(A) = 0.3, P(B) = 0.4,P( C) = 0.8, P(AcapB) =0.08, P(Acap C) = 0.28 and P(Acap Bcap C) = 0.09. If P(Acup B cup C) ge 0.75, Show that, 023le P(B cap C) le 0.48. ,

Check whether the following probabilities P(A) and P(B) consistently defined (i) P(A) = 0.5, P(B) = 0.7, P(A nn B) = 0.6 (ii) P(A) = 0.5, P(B) = 0.4, P(A uu B) = 0.8

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The probabilities of three events A,B,C are P(A) = 0.6, P(B) = 0.4 and P( C) = 0.5.If P(A cup B) = 0.8, P(A cap C) = 0.3 , P(A cap B cap C) = 0.2 and P(A cup Bcup C ) ge 0.85, show that, 0.2 leP(BcapC) le 0.35.

Can the following represent measures of probability : P(A) = 0.4 , P(B) = 0.6 , P( C) = 0.2 where (A cup B cup C ) represents sure event and A,B,C are mutually exclusive.

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UNITED BOOK HOUSE-SET 3-EXERCISE
  1. If a particle moves along the parabola y^2= 8x then the co-ordinates o...

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  2. i.(jxxk)+j.(ixxk)+k.(ixxj)=

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  3. P(A) = 0.6,P(B) = 0.3,P(B//A) = 0.2m P(AuuB)=

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  4. The mean and standard deviationg of a binomial distribution B(n,p) ar...

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  5. Prove that the binary operation o defined by a o b = |a|+|b|, AA a,b...

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  6. Solve: sin^(-1)x-cos^(-1)x = pi/6

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  7. If A= [[0,2],[3,-4]],kA = [[0,3a],[2b,24]] then find the value of k+a+...

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  8. Without expanding show that |[1/a,1,bc],[1/b,1,ca],[1/c,1,ab]|=0

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  9. Show that , d/(dx)[x/2sqrt(a^2-x^2)+a^2/2 sin^(-1)x/a]=sqrt(a^2-x^2)

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  10. Evaluate the following integral: int (tan^-1)sqrt((1-sinx)/(1+sinx)...

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  11. Find the value of C that occurs in the conclusion of largranges's MVT ...

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  12. Solve the following differential equations: dy/dx=e^(x+y)+x^2 e^y

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  13. If |veca+vecb|= |veca-vecb| ,(where veca and vec b are any vector) the...

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  14. The cartesian equations of a line are x= ay+b,z= cy+d . Find its direc...

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  15. Events A and B are such that P(A) =(1)/(2), P(B) =(7)/(12) and "P(not ...

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  16. A binomial distribution B(n,p) has the mean 8 and variance 8/3. Find ...

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  17. Show that cos^(-1) ((cosx+cos y)/(1+cos x.cosy))= 2tan^(-1)(tan(x/2).t...

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  18. By row transformation find inverse of the matrix A= [[1,3,2],[-3,-3,-1...

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  19. Show that, A = 1/3[[1,2,2],[2,1,-2],[-2,2,-1]] are orthogonal matrix a...

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  20. Prove that, |[(a+1)(a+2),a+2,1],[(a+2)(a+3),a+3,1],[(a+3)(a+4),a+4,1]|...

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