Review problem-testing for defectives

Reference no: EM131811362

Question: Testing for defectives. Suppose a lot of 5 items contains two defective items. The items are tested one by one in random order. Let T₁ be the number of the test on which the first defective item is discovered, and T₂ the number of the test on which the second is discovered.

a) Display the distribution table of. T₁.

b) Without further calculation, display the distribution table of 6 - T².

c) Without further calculation display the distribution table of T₂.

d) Display the joint distribution table of T₁ and T₂.

e) Are the random variables T₁, T₂ T₁, 6 - T₂ exchangeable? Prove your answer.

f) Find the distribution of T₂ - T₁.

Reference no: EM131811362

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