Week 3- Stat - Intro to Prob
the product of the individual probabilities
Two events are independent, then the prob that both events occur equals
probability
A numerical value that measures the likelihood of an uncertain event is a
subjective probability
A probability based on personal judgement rather than on obseravation or logical analysis is best referred to as a(n)
subjective probability
A softball coach believes that Laurie has a 0.5 probability of getting a hit against a particular pitcher that Laurie has never batted against before. This type of probability is BEST characterized as a(n)
event
A subset of the sample space is a/an
experiment
A trial, or process, that produces several possible outcomes is referred to as a(n)
exclusive
Events that cannot occur on the same trial of an experiment are mutually ___ events
complement
For any given event, the probability of that event and the probability of the ___ of the event must sum to one
contingency table
For hotels in NYC, a travel website wants to provide info comparing hotel costs (high, avg, low) vs the quality ranking of the hotel (excellent, good, fair, poor). A useful way to summarize this data is to construct a(n)
P(AnB) = P(A|B) x P(B)
For two events A and B, the multiplication rule is
C
If 230 out of 400 country club members play tennis, the value 230 should be inserted in the contingency table in the cell with the letter
all the cards in the deck
If an experiment is selecting a card from a deck of card, then the sample space is
0.89 (prob cannot exceed 1)
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 prob that a company ships by truck or rail is
0.88
Kareem is trying to decide which college to 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 prob that Kareem will attend either State or Northern is
P(AuB) = P(A) + P(B) - P(AnB)
The addition rule for two events A and B is
the union of two events
The addition rule is used to calculate
all outcomes in S that are not in A
The complement of event A within the sample space S contains
P(A^c) = 1-P(A)
The complement rule with respect to event A is
B
The conditional probability of A given B is calculated by dividing the intersection of A and B by the prob of
An empirical prob
The relative fréquence of an event is used to calculate what type of Prob
all outcomes in A or B
The union of two events A and B, denoted AuB, contains
event B
Using the multiplication rule, the prob that event A and event B both occur is computed by multiplying the conditional prob of event A given event B by the prob of
T
When construction a joint prob table, the cell in the lower right coerner is always equal 1.
A value of 7, 6, and an even & odd numbers
When rolling a pair of dice and summing the two values rolled, which of the following are exhaustive events?
a probability table
Which method can be used to help implement the total probability rule
Based on past data, a manager believes there is a 70% chance of retaining an employee for at least one year
Which of the following BEST represents an empirical probability
The prob that Lisa purchases groceries, given that Neil has already purchased groceries
Which of the following is an exmpaple of a conditional prob
