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Four cutting machines are selected from a large lot of damaged machines. Each machine is inspected...

Four cutting machines are selected from a large lot of damaged machines. Each machine is inspected and classified as containing either a major or a minor defect. Let the random variables X and Y denote the number of machines with major and minor defects, respectively. Determine the range of the joint probability distribution of X and Y.

a.
X >= 0, Y >= 0 and X + Y = 5

b.
X >= 0, Y >= 0 and X + Y = 4

c.
X >= 1, Y >= 1 and X + Y = 5

d.
X >= 1, Y >= 1 and X + Y = 4
Math   Statistics-And-Probability   
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