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.