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Mathematics, 12.03.2020 19:19 djennings8055

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

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