Let X1, X2, X3 and X4 be independent exponential random variables, each with parameter λ and let V = max{X1, X2, X3, X4} and W = min{X1, X2, X3, X4}. Find P(V > 2/λ) and P(W > 2/λ).

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:

60 for the first and 130 for the second

step-by-step explanation: