Mod-01 Lec-06 PROPERTIES OF PROBABILITY MEASURES

[dustinspencer]

There is a small omission at 28:09. The claim that {Bi, i>= 1} are disjoint, ie, Bi Intersection Bj = {Empty} for all i, j >= 1 should include that i != j.

[adityagarg]

Doesn't A_i form an increasing sequence of events (A_i is a subset of A_(i+1))?

[tseringjorgais]

What does it mean by a set of all omega in at least one of the Ai's?

[insights]

this theorem is about interverting the limit sign, so i dont know why the prof is saying that it's not the case!

[sirturnables]

Please there anyone who has done all of the proofs, including the homeworks??

[insights]

21:35 to 21:45  it's not true that there is not a limit to a set, of course there is, not just for numbers, the limit of a set is just a set. for example if we have sets that each one is strictly included in the previous we see that the limite of the union is the first set!