MA 540 Introduction to Probability Theory Stevens Institute of Technology Dr. William H. Aeberhard Spring 2020 Midterm Examination 1. Consider the following random experiment: we toss a fair coin repeatedly until the first "heads" occurs. The outcome w is the number of coin flips in this sequence before (i.e. not, including) the first heads. (a) Describe the probability space corresponding to this random experiment, detailing each component. Make sure to define what probability is assigned to any set in the o-algebra. (b) Consider the random variable X (w) returning the value 1 if w