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Let, X denote the number of colleges whe...

Let, X denote the number of colleges where you will apply after your results and P (X = x) denotes your probability of getting admission in x number of colleges. It is given that `P(X=x)={k x;ifx=0or1, ` `2k x;ifx=2,k(5-x),` `ifx=3or4,` ` 0;ifx >4` where `k` is a positive constant. Find the value of `k` . Also find the probability that you will get admission in (i) exactly one college (ii) at most 2 colleges (iii) at least 2 colleges.

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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  9. Evaluate: int((x^2+1)(x^2+4))/((x^2+3)(x^2-5))\ dx

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  10. Find : int(2x+5)sqrt(10-4x-3x^2)dx

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  12. Prove that the line through A(0,1,1) and B(4,5,1) intersects the line ...

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  13. Solve the following differential equation : (cot^(-1)y+x)dy=(1+y^2)dx

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  14. If vec aX vec b= vec cX vec d and vec aX vec c= vec bx vec d , show ...

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  15. Find : int(xsin^(-1)x)/(sqrt(1-x^2))dx

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  16. Solve the following differential equation : y^2dx+(x^2-x y+y^2)dy=0

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  17. Evaluate : int0^pix/(1+sinalphasinx)dx

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  19. Let, X denote the number of colleges where you will apply after your ...

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  20. Find the angle of intersection of the curves y^2=4a x and x^2=4b y.

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