Question

Show that the given function is a pdf on the indicated interval. f(x) = 4x3, [0, 1]

Answer 1

pdf?

Answer 2

Probability Density Functions

Answer 3

@Luigi0210 can u help?

Answer 4

@primeralph @dan815 @johnweldon1993

Answer 5

@abb0t

Answer 6

Well, if you notice, with ur points it's outside of the given range 0<x<1 so to show that it's a probability density, you gotta show \(\large \int\limits_{-\infty}^{\infty}f(x)dx =1\)

Answer 7

remember that f(x) must be >0 for all x.
that was another one of the conditions

Answer 8

That's a fairly simple function to integrate so i'll leave it to you to integrate.

Answer 9

okay thanks

Answer 10

You're very welcome. If you're still confused, don't hesitate to ask.

Answer 11

ok