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Mathematics 7 Online
OpenStudy (thefluffmuncher):

Need help with continuous random variables

OpenStudy (thefluffmuncher):

http://prntscr.com/cfdohz

OpenStudy (thefluffmuncher):

how do i solve this?

OpenStudy (will.h):

Omg no more probabilities I can't believe I have completed that module lol. Good luck it is really awful

OpenStudy (thefluffmuncher):

lmao

OpenStudy (thefluffmuncher):

i hate every moment of it tbh

OpenStudy (will.h):

GeoGebra and Desmos solve this kind of problems try them

OpenStudy (thefluffmuncher):

yeah i can use that but like it prolly wont give me an actual explanation

OpenStudy (thefluffmuncher):

and i dont wanna rely on that solely

OpenStudy (will.h):

That's terrific.. Good luck and here's my best buddy he might help @Mathmale if he was online anyway

OpenStudy (thefluffmuncher):

:)

OpenStudy (owen3):

You need to first define a probability distribution such that the total area is 1. We are given P(x) = k , for all x between 1 and 3.

OpenStudy (thefluffmuncher):

ok

OpenStudy (owen3):

One of the axioms is. $$ \int_{-\infty }^{\infty} f(x) = 1 $$In our problem P(x) = k $$ \int_{-\infty }^{\infty} k = \int_{1 }^{4} k = 1 $$Solve for k.

OpenStudy (thefluffmuncher):

um i've never seen that symbol before

OpenStudy (owen3):

The area of that rectangle must equal to 1 by the probability axiom. The height of the rectangle is some value k. The base is 3. The area is therefore 3*k.

OpenStudy (thefluffmuncher):

but like its asking for a value

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