Mat205 Week 6 Cumulative Test

MAT205 / Week #6 Test: This test is worth a total of 100 points. Please show all of your work and highlight your final answer in a light color. Good Luck!!

Name: _ Date: o8-28-09_________________

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Provide an appropriate response.

1) The following contingency table provides a joint frequency distribution for the popular votes cast in the 1984 presidential election by region and political party. Data are in thousands, rounded to the nearest thousand.

[pic]

A person who voted in the 1984 presidential election is selected at random.

Find the probability that the person voted Republican.

Probability = [pic]

Find the probability that the person voted Republican given that they are from the South.

Probability R\S = P(R and S)/P(S) = [pic]

Are the events "voting Republican" and "being from the South" independent? How can you tell? 1)

No these are not independent, as these have common elements in between.

_____________

2) You win a contest for which the prize is $ 8,000,000. You are going to receive 20 yearly payments of $ 400,000. Your friend Karen tells you that it is not costing the contest sponsor $ 8,000,000 to pay you. What could Karen mean? 2) _____________

Karen is correct. As the sponsor will be getting interest on the investment of 8,000,000 which can take care of the prize money.

TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false.

Let A = {1, 3, 5, 7}; B = {5, 6, 7, 8}; C = {5, 8}; D={2,5,8} and U={1,2,3,4,5,6,7,8}. Determine whether the given statement is true or false.

3) ∅ ⊆ A 3) _______ True empty set is a subset of every set

4) A ⊄ {7, 5, 3, 1} 4) _______ False - every set is a subset of itself.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the indicated probability.

5) A...