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If f(x)= kx, 0 lt x lt 2 = 0 otherwise, ...

If f(x)= kx, 0 lt x lt 2 = 0 otherwise, is a probability density function of a random variable X , then find (i) value of k, (ii) P(1 lt x lt2).

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GURUKUL PUBLICATION - MAHARASHTRA PREVIOUS YEAR PAPERS- FEBRUARY 2020-All Questions
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  11. Solve the differential equation (dy)/(dx)+y = e^(-x)

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  13. Show that a homogeneous equations of degree two in x and y , i.e., ax...

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  16. In triangle ABC, if a+b+c = 2s, then prove that sin(A/2) = sqrt(((s-b)...

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  17. Function f(x) is continuous on its domain [-2,2],where f(x) = (sinax)/...

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  18. prove that : int sqrt(x^2+a^2) dx = x/2sqrt(x^2+a^2)+a^2/2log|x+sqrt(x...

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  19. A fair coin is tossed 8 times. Find the probability that : (1) it sho...

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  20. prove that : int(0)^(2a) f(x)dx = int(0)^(a) f(x)dx+int(0)^(a)f(2a-x)d...

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