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Explain the following - 1) two dimensional random variable, 2)marginal and conditional distributions, 3)bivarate normal distribution and it's properties

What is expectation and conditional mean, variance?

What is convergence of binomial to and to notmal distribution?

 Let an denote the number of surjective (onto) functions f : {1, 2, . . . , n} −→

{1, 2, 3} such that f(1) < f(2). Give a Θ estimate for an.


Find the second derivative of 3y^4+x^7=5x

An engineer designs at least one robot a day for 30 days. If a total of 45

robots have been designed, then show that there must have been a series of consecutive

days when exactly 14 robots were designed.


Determine the length of the parametric curve given by the following parametric equations. x=3sin(t) y=3cos(t) 0<t<2π

Solve (D²-2DD')=x³y+e^5x

Shiw that the equations xp-yp=0, z(xp+yq)=2xy are compatible and solve them

I come to class whenever there is going to be a quiz this statement is inverse converse and contarpositve?

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