Recent content by rachelro

Thank you for your comment, but I think the distribution for the first child should be between [1,N]. I was thinking to go ahead with the following argument: n1 is the number of objects taken by the first child and it is uniformly distributed in [1, N], but n2 is uniformly distributed in [1...

A teacher leaves out a box of N stickers for children to take home as treats. Children form a queue and look at the box one by one. When a child finds k⩾1 stickers in the box, he or she takes a random number of stickers that is uniformly distributed on {1,2,…,k}. 1- What is the expectation of...

Thanks guys for the replies. shreyakmath - your argument is not valid as 0- is not defined. DonAntonio - it is a good way to proceed, but I've come to a simpler solution (may not be 100 correct). Here is the solution: We can show that f(x) is continious at x=1/√2 using the ε-δ...

if f : (0, 1]--> R is given by f(x) = 0 if x is irrational, and f(x) = 1/(m+n) if x = m/n in (0, 1] in lowest terms for integers m and n. How can i prove that this function is continuous at 1/√2?