Math 3020, Probability and Statistics for CSC Name: Homework 2.1 Grade (total 29 points): 1. For each experiment described below, state its sample space f? in set notation (or in interval notation, if appropriate), and then state its cardinality (or size) | Then, give two examples of events and explain the events in words. (a) (4 points) Flipping a coin three times in a row. (b) (4 points) Flipping a coin until you observe Heads. (c) (4 points) Picking a random uppercase letter from the modern Ukranian alphabet. (d) (4 points) Picking a random non-negative real number strictly less than 2%. Homework 2.1, Page 2 of 2 Math 3020, Probability and Statistics for CSC 2. List the elements in each of the following sample space. (a) (2 points) The set of integers between I and 59 divisible by 7. (b) (2 points) = (x+x-6=0} (c) (2 points) The set of outcomes when a coin is tossed until a head or two tails appear. (d) (2 points) The set = {re is a continent}. L (e) (2 points) The set = (r|22-820 and a < 3). 3. (3 points) Consider the following Venn Diagram and list the elements in (AnC), (AU C), and (BOC)UA. 7 B