joint probability thing, writing the latex ...

Question

amistre64 · Answer

a device runs until either of 2 parts fail

the function of the 2 components in hours is:

$$f(x,y)=\frac18(x+y)~:~ x=y=0..2$$

what is the probability if fails within 1 hour

amistre64 · Answer

i thought we just integrate it, but thats not working for me

amistre64 · Answer

maybe i didnt pencil it in right ... 

.125

amistre64 · Answer

$$\frac18\int_{0}^{1}\int_{0}^{1}x+y~dx~dy$$
$$\frac18\int_{0}^{1}\frac12+y~dy$$
$$\frac18(\frac12+\frac12)=\frac1{32}$$

rational · Answer

need to subtract from 1 i think

amistre64 · Answer

nope, 1/2 + 1/2 = 1, not 1/4 :)

amistre64 · Answer

.125 is fine

amistre64 · Answer

i kept getting 1/32 and wondering why :)  stupid addition, its to boring to bother with

inkyvoyd · Answer

why is it always the arithmetic

amistre64 · Answer

i blame kelly young :)  i was to occupied with the girls when they were teaching it i spose

inkyvoyd · Answer

LOL but I wasn't o.0

rational · Answer

|dw:1428046342801:dw| http://www.wolframalpha.com/input/?i=1+-+%5Cint_1%5E2%5Cint_1%5E2+%28x%2By%29%2F8+dxdy