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A random variable X has the following...

A random variable X has the following probability distribution: `I` `0` `1` `2` `3` `4` `5` `6` `7` `P\ (X)` `0` `K` `2K` `2K` `3K` `K^2` `2K^2\ ` `7K^2+K` Determine: (i) K (ii) P(X<3) (iii) P(X > 6) (iv) P (0 < X < 3)

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using vectors, find the area of the triangle with vertices A (1, 1,...

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  2. Using matrices, solve the following system of equations: 4x+3y+3z=6...

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  3. A random variable X has the following probability distribution: ...

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  4. A window has the shape of a rectangle surmounted by an equilateral ...

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  5. Find the distance of the point (-1,\ -5,\ -10) , from the point of int...

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  6. Show that the right-circular cone of least curved surface and given...

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  7. How many times must a man toss a fair coin, so that the probability...

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  8. Using elementary transformations, find the inverse of the matrix [[-1,...

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  9. Find the equation of the tangent to the curve y=sqrt(3x-2) which is...

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  10. Find the intervals in which the function f given by f(x)=\ x^3+1/(...

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  11. Prove that sin^(-1)(63/65)=sin^(-1)(5/13)+cos^(-1)(3/5)

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  12. Evaluate: int0^(2pi)1/(1+e^(sinx))dx

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  13. Solve for x : 2tan^(-1)(sinx)=tan^(-1)(2secx),\ x!=pi/2

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  14. Prove the following: cot^(-1)[(sqrt(1+sinx )+sqrt(1-sinx))/(sqrt(1+sin...

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  15. Find the value of tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y))

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  16. Using properties of determinants, prove the following |[x,x+y,x+2y],[x...

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  17. Consider f\ : R+vec[4,oo) given by f(x)=x^2+4 . Show that f is inve...

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  18. Differentiate the following with respect to x : sin^(-1)((2^(x+1). 3^x...

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  19. If y^x=e^(y-x), prove that (dy)/(dx)=((1+logy)^2)/(logy)

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  20. Write the cartesian equation of a plane, bisecting the line segment...

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