Recent content by hassman

Got it! Thanks!

Homework Statement Prove that P(A \cap B)≥1-P(\bar{A})-P(\bar{B}) for all A, B \subseteq Susing only these axioms: 1) 0 \leq P(A) \leq 1, for any event A \subseteq S 2) P(S) = 1 3) P(A \cup B) = P(A) + P(B) if and only if P(A \cap B) = 0Homework Equations None. The Attempt at a Solution My...

Thank you Stephen. That was part of my homework I was struggling with. I wonder which school OP goes :-). To be really pedantic, should not the last equation have > sign instead of >=?

thank you. i will buy that book probably. looks pretty good. i cannot make the exercises though as i lack the fundamentals.

Hi... I have searched but the explanations that are given are too abstract. Why is it so difficult to use an example to show what a Borel set is? Assume X = {1, 2, 3}. Then the power set of X is a topology. Borel set is defined on topologies right? So what would be then a Borel set...

thanks!

What does it mean? Is it simply just the limiting distribution? like x ----> d on top N(1,1) means that X tends to normal distribution as sample size increases?

looks likes going to be 3 tough months

ok :D ty

The title says it all: Do \frac{1}{N} = and \frac{1000}{N} have limit of zero as N tends to infinity?

yes I understood from the first reply, it's just so simple, hence my amazement.

Thanks a lot guys, very clear explanations.

sweet mother of god. thanks. It is always the 1 that is omitted that confuses me. Plus I used sqrt(9) to ease the calculation.

Hi. Tried to solve first problem in the book "Firfty Challenging Problems in Probability" and solved it although very ugly. Then I check the answers and see the author use the following inequality: r > \frac{1}{\sqrt{2}-1}b=(\sqrt{2} + 1)b Now correct me if I am wrong, but this...

Ok, so the limit statement does not imply that p(1)=1, p(2)=2, etc. In other words it does not imply a particular sequence, just a sequence where p(n) gets larger as n gets larger. I just want to know what the limit statement in combination with the definition of sequence eliminates. Does it...