4 years ago

Consider the factor pairs of 100. When do the factor pair reverse Order?

1 answer:

kramer4 years ago

4 0

I need help with my puzzle I can't figure it out j

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Ksju [112]

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julia-pushkina [17]

I assume $f(x)=0$ otherwise. If $f(x)$ is indeed a proper PDF, then its integral over the support of $X$ is 1.

$\displaystyle \int_{-\infty}^\infty f(x) \, dx = k \int_0^2 (2x + 3x^2) \, dx = 1$

Compute the integral.

$\displaystyle \int_0^2 (2x + 3x^2) \, dx = (x^2 + x^3)\bigg|_{x=0}^{x=2} = (2^2 + 2^3) - (0^2 + 0^3) = 12$

Then

$12k = 1 \implies \boxed{k=\dfrac1{12}}$

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2 years ago