A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be tested, one at a time, until the defective ones are identified. Denote by X the number of tests made until the first defect is identified and by Y the number of additional tests until the second defect is identified. (a) Depict the points and corresponding probabilities on a graph similar to file attached below. (b) Give the marginal pmfs in the “margins.”

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2.  A bin of 5 transistors is known to contain 2 that are defective. The transistors are to be
tested, one at a time, until the defective ones are identified. Denote by X the number of tests made until
the first defect is identified and by Y the number of additional tests until the second defect is identified.
(a) Depict the points and corresponding probabilities on a graph similar to file attached below.
(b) Give the marginal pmfs in the “margins.”

y
11/36 6
• 2/36
2/36
• 2/36
• 2/36
• 2/36
• 1/36
9/36 5 +
• 2/36
2/36
• 2/36
• 2/36
• 1/36
7/36 4
• 2/36
• 2/36
• 2/36
• 1/36
5/36 3
• 2/36
• 2/36
• 1/36
3/36 2
• 2/36
• 1/36
1/36 1
• 1/36
+
+
+
+
1
3
4
6.
11/36
9/36
7/36
5/36
3/36
1/36
Transcribed Image Text:y 11/36 6 • 2/36 2/36 • 2/36 • 2/36 • 2/36 • 1/36 9/36 5 + • 2/36 2/36 • 2/36 • 2/36 • 1/36 7/36 4 • 2/36 • 2/36 • 2/36 • 1/36 5/36 3 • 2/36 • 2/36 • 1/36 3/36 2 • 2/36 • 1/36 1/36 1 • 1/36 + + + + 1 3 4 6. 11/36 9/36 7/36 5/36 3/36 1/36
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