stats chapter 4

if two events do not influence each other, the events are

independent

which is not an example of an experiment

winner of last weeks lottery

sample space S= (win,loss).

P(win)=.8 ; P(loss)=.2

prob that a customer orders popcorn is 0.4. The prob that the order a drink is 0.65. The prob that they order popcorn and a drink is 0.3. If they have already ordered a drink, what is the prob that they will order popcorn?

.46

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

.89

the joint probability table examines whether a residents location, east or west side, affects whether the resident gets season passes to the pool on the west side. Prob that a resident lives on the west side and does not have a pass

0.10

the joint probability table examines whether a residents location, east or west side, affects whether the resident gets season passes to the pool on the west side. Given that a resident has a season pass, what is the prob the resident lives on the east side

0.40

prob that a customer orders popcorn is 0.4. The prob that the order a drink is 0.65. The prob that they order popcorn and a drink is 0.3. If they have already ordered popcorn, what is the prob that they will order a drink?

0.75

a ____ probability is the prob of an event given that another event has already occurred

conditional

contingency table was created by a middle school to determine the relationship between a student taking a foreign language and whether the student plays in the school band. The number of students that do not play in the band is

90

when rolling a pair of dice and summing the two values rolled, which of the following are exhaustive events?

A value of 6 or more and a value of 8 or less A value of 7 or more and a value of 6 or less An even and an odd value

which are mutually exclusive

Being on time and being late for an appointment Receiving an A and receiving a B as a final grade

the addition rule for 2 events A and B is

P(AUB) = P(A) + P(B) - P(AnB)

T/F: when constructing a joint probability table, the cell in the lower right corner must always equal 1.0

True

if an experiment is selecting a card from a deck of cards, then the sample space is

all the cards in the deck

which best represents an empirical probability

based on past data, a manager believes there is a 70% chance of retaining an employee for at least one year

if 230 out of 400 country club members play tennis, the value 230 should be interred in the contingency table in the cell with the letter

c

for hotels in NYC, at site wants to provide info comparing hotel costs versus the quality ranking of the hotel. A useful way to summarize this data is to construct a(n)

contingency table

relative frequency of an event is used to calculate what type of probability

empirical probability

a subset of the sample space is a/an

event

events that include all outcomes in the sample space are known as ____ events

exhaustive

trial, or process, that produces several possible outcomes is referred to as a(n)

experiment

the probability that a customer will purchase a product is 0.15. The probability that a customer is a male is 0.5. The prob that a customer is a male and will purchase a product is 0.075. The events purchasing a product and being a male are

independent

events that cannot both occur on the same trial of an experiment are

mutually exclusive events

the sum of the probabilities of a list of mutually exclusive and exhaustive events is

one

numerical value that measures the likelihood of an uncertain event is a

probability

if an event is getting a letter grade of A in your stats class, what is the complement of receiving an A

receiving any grade except an A

all possible outcomes of an experiment is the ___ space

sample

A coach believes laurie has a 0.5 prob of getting a hit against a pitcher that she has never batted against before. This type of probability is best characterized as

subjective probability

probability based on personal judgment rather than on observation or logical analysis is best referred to as

subjective probability

which of the following is an example of a conditional probability

the probability that Lisa purchases groceries, given that Neil has already purchased groceries

in order to convert a contingency table into a joint probability table, the frequency of each cell is divided by the

total number of outcomes in the sample space

the addition rule is used to calculate

union of two events

to calculate the union for two mutually exclusive events A and B

we add the probability of A to the probability of B