The University of Connecticut/ Storrs Spring 2006
Mathematics 105Q Exam 3 Topics
A page of formulas from the mathematics of interest will be
provided.
But you should be well practiced on applying the formulas and
understand which formula goes with what situation.
Problem 1. Section 7.2
Determine the elementary events and empirical probability
distribution given frequency data for an experiment. Review problems: 393/7,
17.
Problem 2. Sections 5.2/5.3
Loans. 304/24; 316/19.
Problem 3. Sections 5.2/5.3
Systematic savings calculation. 304/15; 315/15.
Problem 4(a). Section 5.3
Amortizing. How much do you still owe? 317/41. Read example on p.
310. (But omit "equity".)
Problem 4(b). Sections 7.1/7.2
Express an event as a set of outcomes and find its probability. (A
familiar equal likelihood situation.) 395/27, 28, 30.
Problem 5. Section 6.2
Counting with Venn diagrams. 351/31, 33.
Problem 6. Section 6.1
(a) Properties of sets. (b) A two set Venn diagram. 345/67-72;
343/27, 28.
Problem 7. Sections 6.3/6.4
Applying counting theory. Multiplication principle. Counting
permutations or
combinations. 357/1, 5, 11; 369/32, 37.
Problem 8(a). Section 7.3 Apply the basic rules of
probability. 403/15, 16, 19, 25bc.
Problem 8(b). Section
7.4 Counting applied to probability. 412/5, 7, 18.
Problem 9. Section
7.1 combined with 7.2
Sample space, outcomes, probability.