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3 years ago

5

Which distribution has a mean of 5? poisson with λ = 25 binomial with n = 200, π = .05 hypergeometric with n = 100, n = 10, s =

50?

1 answer:

RoseWind [281]3 years ago

8 0

Hypergeometric with N = 100, n = 10, s = 50 has mean n s / N = 10*50/1000 = 5.

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Answer:

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Step-by-step explanation:

Given the expression

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$\mathrm{Apply\:factoring\:rule:\:}x^n+y^n=\left(x+y\right)\left(x^{n-1}-x^{n-2}y+\:\dots \:-\:xy^{n-2}\:+\:y^{n-1}\right)\:\quad \quad \mathrm{n\:is\:odd}$

$x^5+y^5=\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)$

$=\frac{\left(x+y\right)\left(x^4-x^3y+x^2y^2-xy^3+y^4\right)}{x+y}$

Cancel the common factor: x+y

$=x^4-x^3y+x^2y^2-xy^3+y^4$

Thus,

$\frac{x^5+y^5}{x+y}=x^4-x^3y+x^2y^2-xy^3+y^4$

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