Probability density function

[Studyinghard]

Find the value of a, such that the function may be a pdf.

f(x) = { a, 0 < x < 1
           ax, 1 < x < 2
           0, elsewhere

Note: because I cbs doing latex the < is actually < with a line underneath.

 thanks

[sajib_mostofa]

For this Q, I would integrate each part separately

Integrate from 0-1 for f(x) = a and from 1-2 for f(x) = ax

Since it has to be a pdf, the sum of those two separate integrations has to equal one.

Sorry I dont know how to use mathematical symbols in this forum

[Blakhitman]

[sajib_mostofa]

Perfect 

[Blakhitman]

Try this for a while, you'll get the hang of it rather quickly http://www.codecogs.com/latex/eqneditor.php

[kate26]

Note: because I cbs doing latex the < is actually < with a line underneath.

i have no idea if you know (or care) but with prob density stuff it makes no difference if they are are > or greater than and equal to.
just thought id point this out haha.

as for the question the other guys have it covered

[sajib_mostofa]

Try this for a while, you'll get the hang of it rather quickly http://www.codecogs.com/latex/eqneditor.php

Cheers for that mate. I've been trying to search through these forums for some sort of guide

[Blakhitman]

Try this for a while, you'll get the hang of it rather quickly http://www.codecogs.com/latex/eqneditor.php

Cheers for that mate. I've been trying to search through these forums for some sort of guide

You're welcome

And to stay on topic a question for exercise:

If X is a random variable with probability density function given by

 

find the value of n.

solution: 7/2

[sajib_mostofa]

Sorry for the delay man: