** Upcoming Events:**

- On Monday, April 13, we will have a pizza talk by Khanh Le:

**Fishing for an Unexpected Expectation**

When a sample of k standard Uniform random variables is observed, it is interesting to note that the events {X1 + X2 + ... + Xk <1} and {X1 > X2 > ... > Xk} have exactly the same probability. The probability of the later event is a simple combinatorial problem, but that of the former event is difficult. We use geometry to motivate a simple k-variate transformation of variables which establishes the probabilistic equality between these events. This result establishes the following fact: Let N be the the number of observations such that X1 + X2 + ... + X(N-1) < 1 and X1 + X2 + ... + X(N) > 1, and let M be the number of observations such that X1 > X2 > ... > X(M-1) and X(M-1) < X(M), then E(N) = E(M). The common expectation will be derived in the talk. - The OWU Programming Contest was held Saturday, March 28th, 2014. The results can be found on the past contests page.