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Two numbers are selected at random (with...

Two numbers are selected at random (without replacement) from positive integers `2,3,4,5,6,` and `7` . Let `X` denote the larger of the two numbers obtained. Find the mean and variance of the probability distribution of `X` .

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Evaluate : int(-pi/2)^(pi/2)(cosx)/(1+e^x)dx

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  2. Evaluate : int(x^2)/((x^2+4)(x^2+9))dx

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  3. Two numbers are selected at random (without replacement) from posit...

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  4. If A=[[2,-1],[-1, 2]] and I is the identity matrix of order 2, then ...

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  5. If A=[[1,-1],[ 2,-1]] and B=[[a,1],[b,-1]] and (A+B)^2=A^2+B^2, then f...

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  6. Three machinesE1, E2 and E3 in a certain factory producing electric...

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  7. A shopkeeper has 3 varieties of pens ‘A’, ‘B’ and ‘C’. Meenu purcha...

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  8. Using properties of determinants, show that ABC is isosceles if |(1,1,...

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  9. A trust invested some money in two type of bonds. The first bond pays...

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  10. If cos^(-1)(x/a) + cos^(-1) (y/b) = a show that : (x^2)/(a^2) - (2xy...

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  11. Find : int(3x+1)sqrt(4-3x-2x^2)dx

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  12. Form the differential equation of the family of circles in the second ...

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  13. Solve the differential equation : y+x(dy)/(dx)=x-y(dy)/(dx)

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  14. Prove that the least perimeter of an isosceles triangle in which a cir...

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  15. Evaluate: int(x^2)/(x^4+x^2-2)\ dx

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  16. If the sum of lengths of hypotenuse and a side of a right angled tr...

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  17. Find the position vector of the foot of perpendicular and the perpe...

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  18. Prove that the curves y^2=4x and x^2=4y divide the area of square b...

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  19. Evaluate the following int0^(3/2)|xcospix\ |\ dxdot

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  20. Evaluate : int0^(pi/2)(sin^2x)/(sin x+cos x)dx

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