Question

$if \: \frac{ {a}^{2} }{b + c} = \frac{ {b}^{2} }{c + a} = \frac{ {c}^{2} }{a + b} = 1 \: then \: prove\: \frac{1}{1 + a} + \frac{1}{1 + b} + \frac{1}{1 + c} = 1$
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Answer 1

Answer:

Let X,Y and Z be three independent random variables with X∼N(μ,σ2), and Y,Z∼Uniform(0,2). We also know that

E[X2Y+XYZ]=13,E[XY2+ZX2]=14.

Find μ and σ.

Step-by-step explanation:

For many important discrete random variables, the range is a subset of {0,1,2,...}. For these random variables it is usually more useful to work with probability generating functions (PGF)s defined as

GX(z)=E[zX]=∑n=0∞P(X=n)zn,

for all z∈R that GX(z) is finite.

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