The future lifetimes (in months) of two components of a machine have the following joint density function: (A) (B) (C) Determine which of the following represents the probability that both components are still functioning 20 months from now. (D) (E) f(x,y)=125,000 0, 6 125,000 6 125,000 6 125,000 50-x 20 50- 6 20 30 50-x-y (50-x-y), 0

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The future lifetimes (in months) of two components of a machine have the following joint
density function:
(A)
(B)
(C)
Determine which of the following represents the probability that both components are
still functioning 20 months from now.
(D)
(E)
f(x,y)=125,000
0,
6
125,000
6
125,000
6
125,000
30 50-1
6
125,000
20
50
20
20
30 50-x-y
6
-(50-x-y), 0<x<50-y<50
(50-x-y)dydx
20
50-x
(50-x-y)dydx
20 20
6
125,000 (50-x-y)dydx
20
20
50 50-x-y
(50-x-y)dydx
otherwise.
(50-x-y)dydx
Transcribed Image Text:The future lifetimes (in months) of two components of a machine have the following joint density function: (A) (B) (C) Determine which of the following represents the probability that both components are still functioning 20 months from now. (D) (E) f(x,y)=125,000 0, 6 125,000 6 125,000 6 125,000 30 50-1 6 125,000 20 50 20 20 30 50-x-y 6 -(50-x-y), 0<x<50-y<50 (50-x-y)dydx 20 50-x (50-x-y)dydx 20 20 6 125,000 (50-x-y)dydx 20 20 50 50-x-y (50-x-y)dydx otherwise. (50-x-y)dydx
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