ISDS 2000 Ch. 4 Questions
Conditional
A ________ probability is the probability of an event given that another event has already occurred.
3.76 to 1
A festival has become so popular that it must limit the number of tickets it issues. People who hope to attend the festival send in a request for tickets, and requests are filled by random selection. Only 21% of the ticket requests are fulfilled. The odds that a random applicant does not receive a ticket are
0.0006 (0.02 x 0.03) = 0.0006
A manufacturer of liquid laundry detergent has 0.2 probability that the detergent bottles will be improperly filled. There is a 0.03 probability that the label on the bottle will not be affixed properly. If the events of bottle fill and affixing the label are independent, then the probability that a bottle is filled improperly and has an improperly affixed label is:
Subjective Probability
A softball coach believes that Laurie has a 0.5 probability of getting hit against a particular pitcher that Laurie has never batted against before. This type of probability is BEST characterized as a:
Contingency Table
For hotels in New York City, a travel web site wants to provide information comparing hotel costs (high, average, low) versus the quality ranking of the hotel (excellent, good, fair, poor). A useful way to summarize these data is to construct a
Receiving any grade except an A.
If an event is getting a letter grade of A in your statistics class, what is the complement of receiving an A?
All the cards in the deck
If an experiment is selecting a card from a deck of cards, then the sample space is
Independent
If two events do not influence each other, then the events are__________ events.
0.89 (0.82+0.47-0.40)= 0.89
In a particular industry, it is known that 82% of companies ship their products by truck and 47% of companies ship their product by rail. 40% of companies ship by truck and rail. The probability that a company ships by truck or rail is:
Total number of outcomes in the sample space
In order to convert a contingency table into a joint probability table, the frequency of each cell is divided by the
0.88 (0.55 + 0.33) = 0.88
Kareem is trying to decide which college he'll attend full time next year. Kareem believes there is a 55% chance that he will attend State College and a 33% chance that he will attend Northern University. The probability that Kareem will attend either State or Northern is:
Do not share common outcomes of the experiment
Mutually exclusive events:
Zero to one
Probability values range from
One
The sum of the probabilities of a list of mutually exclusive and exhaustive events is
0.032 (1/1+30)
The High Roller Casino puts the odds of a certain baseball team winning the World Series at 1 to 30 (1:30). Based on those odds, what is the probability that this baseball team will win the World Series?
P (A U B) = P(A) + P(B) - P(A ^ B)
The addition rule for two events A and B is
The union of two events
The addition rule is used to calculate
0.875 (1/(7+1))=0.125 1 - 0.125 = 0.875
The odds against a horse winning a race were set at 7 to 1. The probability of the horse NOT winning the race is:
0.25 (13/52)
The probability of randomly selecting a "spade" from a deck of cards is
0.76 (0.95 x 0.80) = 0.76
The probability that Anthony is on time for work is 0.90. The probability that Anthony takes the train to work is 0.80. Given that Anthony takes the train to work, the probability that he is on time is 0.95. The probability that Anthony is on time for work and takes the train is
0.46 (0.30/0.64) = 0.46
The probability that a customer orders popcorn at the movie theater is 0.40. The probability that a customer orders a drink at the movie theater is 0.65. The probability that a customer orders popcorn and a drink 0.30. If a customer has already ordered a drink, what is the probability that the customer will order popcorn?
0.7
The probability that a customer purchases popcorn at the movie theater is 0.3. What is the probability that a customer does not purchase popcorn?
Independent
The probability that a customer will purchase a product is 0.15. The probability that a customer is a male is 0.5. The probability that a customer is a male and will purchase a product is 0.075. The events purchasing a product as a male are
Empirical Probability
The relative frequency of an event is used to calculate what type of probability?
Event
The subset of a sample space is called a/an:
Event B (Event B occurs first, Then A happens second given that B has already occurred.)
Using the multiplication rule, the probability that event A and event B both occur is computed by multiplying the conditional probability of event A given event B by the probability of:
- An even number and an odd number. - A sum of 6 or more and a sum of 8 or less. - A sum of 7 or more and a sum of 6 or less.
When rolling a pair of dice and summing the two values rolled, which of the following are exhaustive events?
- Receiving an A and receiving a B+ as a final grade in an Accounting class - Being on time and being late for an appointment
Which of the following events are mutually exclusive?
Determine a historical fact such as the name of the U.S. president in the year 1856.
Which of the following is NOT an example of an experiment?