Exam 2: Introduction to Probability

A food distributor carries 64 varieties of salad dressing.Appleton Markets stocks 48 of these flavors.Beacon Stores carries 32 of them.The probability that a flavor will be carried by Appleton or Beacon is 15/16.Use a Venn diagram to find the probability a flavor is carried by both Appleton and Beacon.

A list of all possible outcomes of an experiment is called

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

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

An accounting firm has noticed that of the companies it audits,85% show no inventory shortages,10% show small inventory shortages and 5% show large inventory shortages.The firm has devised a new accounting test for which it believes the following probabilities hold: P(company will pass test | no shortage)= .90 P(company will pass test | small shortage)= .50 P(company will pass test | large shortage)= .20 a.If a company being audited fails this test,what is the probability of a large or small inventory shortage? b.If a company being audited passes this test,what is the probability of no inventory shortage?

A mail order company tracks the number of returns it receives each day.Information for the last 50 days shows a.How many sample points are there? b.List and assign probabilities to sample points. c.What procedure was used to assign these probabilities?

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.

A posterior probability is a conditional probability.

If P(A|B)= .4,then

P(A|B)+ P(A|B^C)= 1 for all events A and B.

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

Mini Car Motors offers its luxury car in three colors: gold,silver and blue.The vice president of advertising is interested in the order of popularity of the color choices by customers during the first month of sales. a.How many sample points are there in this experiment? b.If the event A = gold is the most popular color,list the outcome(s)in event A. c.If the event B = blue is the least popular color,list the outcome(s)in ASYMBOL 199 \f "Symbol"B. d.List the outcome(s)in ASYMBOL 199 \f "Symbol"B^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.The intersection of A and B is

If A and B are independent events,then P(A $\cap$ B)= P(A)P(B).

There are two more assignments in a class before its end,and if you get an A on at least one of them,you will get an A for the semester.Your subjective assessment of your performance is a.What is the probability of getting an A on the paper? b.What is the probability of getting an A on the exam? c.What is the probability of getting an A in the course? d.Are the grades on the assignments independent?

A method of assigning probabilities that assumes the experimental outcomes are equally likely is referred to as the

P(A|B)= P(A^C|B)for all events A and B.

The Ambell Company uses batteries from two different manufacturers.Historically,60% of the batteries are from manufacturer 1,and 90% of these batteries last for over 40 hours.Only 75% of the batteries from manufacturer 2 last for over 40 hours.A battery in a critical tool fails at 32 hours.What is the probability it was from manufacturer 2?

If P(A $\cap$ B)= 0

Two events that are independent cannot be mutually exclusive.