and because these are independent, we can separate the integrals and have
\int_A{e^{-x}dx \int_A{2e^{-2y}dy
and then the variables of every probability , x,y, can be descibed by the same symbol, let's say t
but what should be the limits of the integral?
so, i think, i need the probability of X failing and Y not, at a time T.
T T T oo
so it is Pr=∫f(x)dx *(1-∫f(y)dy)=∫2*exp(-2t)dt * ∫2*exp(-2t)dt=
0 0 0 T
and here i am...
Homework Statement
hi,
i have a problem and i really want you to help me with it.
we have X and Y that fail independently of each other.
density of X : f(x)=exp(-x), and density of Y : f(y)=2*exp(-2y) what is the probability that X component fails first?
(it should be a number)
thank you
hi,
i have a problem and i really want you to help me with it.
if we have: density of X : f(x)=exp(-x), and density of Y : f(y)=2*exp(-2y) (independent components), what is the probability that X component fails first?
(it should be a number)
thank you