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MAT540 - Quantitative Methods (Homework # 2)

Section A True/False

Indicate whether the sentence or statement is true or false.

__F__ 1. Two events that are independent cannot be mutually exclusive.

__F__ 2. A joint probability can have a value greater than 1.

__F__ 3. The intersection of A and Ac is the entire sample space.

__T__ 4. If 50 of 250 people contacted make a donation to the city symphony, then the relative frequency method assigns a probability of .2 to the outcome of making a donation.

__T__ 5. An automobile dealership is waiting to take delivery of nine new cars. Today, anywhere from zero to all nine cars might be delivered. It is appropriate to use the classical method to assign a probability of 1/10 to each of the possible numbers that could be delivered.

__T__ 6. When assigning subjective probabilities, use experience, intuition, and any available data.

__F__ 7. P (A„xB) „d P (A)

__F__ 8. If P (A|B) = .4 and P (B) = .6, then P (A„xB) = .667.

__T__ 9. Bayes' theorem provides a way to transform prior probabilities into posterior probabilities.

__T__ 10. If P (A„yB) = P (A) + P (B), then A and B are mutually exclusive.

Section B Multiple Choice

Identify the letter of the choice that best completes the statement or answers the question.

__C__ 11. Which of the following is not a valid representation of a probability?

a. 35%

b. 0

c. 1.04

d. 3/8

__A__ 12. A list of all possible outcomes of an experiment is called

a. the sample space.

b. the sample point.

c. the experimental outcome.

d. the likelihood set.

__B__ 13. Which of the following is not a proper sample space when all undergraduates at a university are considered?

a. S = {in-state, out-of-state}

b. S = {freshmen, sophomores}

c. S = {age under 21, age 21 or over}

d. S = {a major within business, no business major}

__B__ 14. In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer. The complement of A is

a. all new customers.

b. all accounts fewer than 31 or more than 60 days past due.

c. all accounts from new customers and all accounts that are from 31 to 60 days past due.

d. all new customers whose accounts are between 31 and 60 days past due.

__C__ 15. In the set of all past due accounts, let the event A mean the account is between 31 and 60 days past due and the event B mean the account is that of a new customer.