The joint distribution for the length of life of two different types of componentgs operating in a system was given in by f(y1, y1) = (1/8)y1 exp(−(y1 + y2)/2), y1 > 0, y2 > 0, 0 elsewhere. The relative efficiency of teh two types of components is measured by U = Y1/Y1 . Find the probability density function for U

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation:

i believe that the answer is

b. y-1=-2(x-4)

hope this !