[SOLVED] need help on stats, plz!

**mathghost** · April 2nd 2009, 04:14 PM

I need help with following questions plz, really appreciate it

**matheagle** · April 2nd 2009, 04:40 PM

The density is $f(y)=1-y$ on 0<y<1 and $f(y)=.5$ on 2<y<3.

Now you need $\int_0^3 yf(y)dy$ and $\int_0^3 y^2f(y)dy$ .

**mathghost** · April 2nd 2009, 04:58 PM

Sorry to bother you again, how do u find

and

? can u provide me the solution for the questions? thanks

**matheagle** · April 2nd 2009, 05:02 PM

basic calculus one

$\int_0^3 yf(y)dy= \int_0^1 (1-y)ydy + .5\int_2^3 ydy$

and

$\int_0^3 y^2f(y)dy= \int_0^1 (1-y)y^2dy + .5\int_2^3 y^2dy$ .

**matheagle** · April 2nd 2009, 05:07 PM

The CDF is zero if y<0

$\int_0^y (1-t)dt= y-y^2/2$ on 0<y<1

.5 on 1<y<2

$.5 + .5\int_2^y dt =.5 + .5(y-2)=.5y-.5$ on 2<y<3

and 1 after 3.

You can put include the endpoints of each interval anywhere you wish.

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