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MAT540 – Quantitative Methods
(Homework # 2)
Section A
True/False
Indicate whether the sentence or statement is true or false.
__F__
Two events that are independent cannot be mutually exclusive.
__F__
A joint probability can have a value greater than 1.
__F__
The intersection of A and Ac is the entire sample space.
__T__
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__
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__
When assigning subjective probabilities, use experience, intuition, and any available data.
__F__
P (A„xB) „d P (A)
__F__
If P (A|B) = .4 and P (B) = .6, then P (A„xB) = .667.
__T__
Bayes theorem provides a way to transform prior probabilities into posterior probabilities.
__T__
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__
Which of the following is not a valid representation of a probability?
1.04
__A__
A list of all possible outcomes of an experiment is called
the sample space.
the sample point.
the experimental outcome.
the likelihood set.
__B__
Which of the following is not a proper sample space when all undergraduates at a university are considered?
S = {in-state, out-of-state}
S = {freshmen, sophomores}
S = {age under 21, age 21 or over}
S = {a major within business, no business major}
__B__
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
all new customers.
all accounts fewer than 31 or more than 60 days past due.
all accounts from new customers and all accounts that are from 31 to 60 days past due.
all new customers whose accounts are between 31 and 60 days past due.
__C__
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.