Your proof for #1 is correct.
Could you use #1 to prove #2?
Hi!
I have two questions:
Let be a probability space.
Now use the properties of the probability measure to show
1) If and , then .
I tried: If , then , where .
Then by the countable additivity rule, .
But , hence .
2) Show that if and is a sequence of sets in with and for all , then .
I tried: .
This means
But and are greater than zero, so
Are these valid solutions?
Thank you