MATH 362 Midterm: Math 362 midterm1_S2010

• School: University of Arizona
• Department: Mathematics Main
• Course: MATH 362
• Professor: All

Document Summary

Problem 1. (20 pts) find the smallest number of people n such that the proba- bility of two or more of them having the same birthday is >15%. Assume that birthdays are random and that there are no leap years. Problem 2. (20 pts) a pot of soup has 10 spaghetti noodles in it. The ends of all noodles are clearly visible, but one cannot see the middle sections. Problem 3. (15 pts) draw the venn diagram(s) proving or disproving the fol- lowing statement about 3 arbitrary sets a, b and c: A (b c) = (a b) (a c). Problem 4. (15 pts) state the axioms of probability. Please use common notations for sets and functions, and be sure to distinguish sets from sequences.