A manufacturer has been using two different manufacturing processes to make computer memory chips. Let X denote the time failure of chips made by process A and Y denote the time failure of chips made by process B. Consider the two random variables (X, Y) jointly. It is known that the joint PDF of (X, Y) is:

fₓ,ᵧ (x, y) = { ab e⁻⁽ᵃˣ⁺ᵇʸ⁾, x > 0, y > 0
{ 0 otherwise
where a = 10⁻⁴ and b = 1.2 (10⁻⁴).

Find P(X

b) 36

step-by-step explanation:

18 times 2 is 36

it would be 6xy and -16xy.

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.