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 ...