Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 y 2/20 3 0.10 0.05 0.02 0.10 0.35 0.05 0.03 0.10 0.20 a. Find the marginal distribution g(x), x= 1, 2, 3. b. Find the marginal distribution h(y), y = 1, 2, 3.

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1. Let X denote the number of times a certain numerical control machine will malfunction:
1, 2, or 3 times on any given day. Let Y denote the number of times a technician is
called on an emergency call. Their joint probability distribution is given below:
f(x,y)
1
2
3
I
y
3
0.10 0.05 0.02
0.10 0.35
0.05
0.03 0.10 0.20
a. Find the marginal distribution g(x), x= 1, 2, 3.
Find the marginal distribution h(y), y = 1, 2, 3.
b.
O
Transcribed Image Text:1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given below: f(x,y) 1 2 3 I y 3 0.10 0.05 0.02 0.10 0.35 0.05 0.03 0.10 0.20 a. Find the marginal distribution g(x), x= 1, 2, 3. Find the marginal distribution h(y), y = 1, 2, 3. b. O
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