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Stats Exam 4
Probability,Combinations/Permutations, Economic News
33
Other
Undergraduate 1
10/29/2008

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Cards

Term
Gambler's Fallacy
Definition

The incorrect belief that the probability of a certain even changes after a series of the event has occured

 

ie. toss a coin, each time it is .5 probability

Term

p(A)

p=probability

A= classification of something

Definition

The number of outcomes classified as A/

Total number of outcomes

Term
Analytic View of Probability
Definition
Analysis of possible outcomes to define probability
Term
Relative Frequency View of Probability
Definition
Viewing probability based on previous experiences leading to the likelihood of something happening
Term
Subjective View of Probability
Definition

not based on numbers or calculations, may or may not be accurate

Term
Event
Definition
the outcome of a trial, the thing whose probability we are calculating
Term
Independent Events
Definition
Events are independent when the occurrence of one has no effect on the probability of the occurrence of the other. Two things have no influence on the other
Term
Mutually Exclusive Events
Definition

The occurrence of one event makes the other occurrence impossible

 

ie: gender, days of the week

Term
Exhaustive Events
Definition
All possible events
Term

Addition rule for probability

 

 

Definition

The probability of A or B when A and B are mutually exclusive random events

 

p(A)+p(B)

Term
Addition rule if events are not mutually exclusive
Definition

p(A or B)= p(A)+p(B)- [p(A) x p(B)]

 

ie: King or heart

 

4/52+13/52-(4/52)(13/52)

Term

Multiplication rule with probability

Definition

If 2 events are independent, the probability of both of them occuring together

 

p(A and B)= p(A) x p(B)

 

MUST KNOW WITH OR WITHOUT REPLACEMENT

Term

Joint Probability

Definition
Refers to the probability of the co-occurrence of 2 or more events (using the multiplication rule)
Term
Conditional Probability
Definition

the probability that one event will occur GIVEN that some other event has occured

 

denoted p(A/B)

Term
Factorials
Definition
ie the factorial of 7=7x6x5x4x3x2x1
Term
Combinations
Definition

Counting the number of ways something can happen

 

N!/r!(N-r)!

 

ie: 2 toppings out of 4

4!/2!(4-2)!

Term
Permutations
Definition

ORDER MATTERS

 

N!/(N-r)!

 

Does a different ordering of the same objects give you something new?

Term
CPI (consumer price index)
Definition
measures changes in the cost of a "market basket" of goods and service. the cost of that collection is measured during the base period
Term
Price Index Number
Definition

[current cost/base time period cost] x 100

 

if it equals 147,  then the cost rose 47% (147% of what the cost was before)

Term
Base Year
Definition
changes periodically, originally it was 1913 but it keeps raising
Term
Goods and services included in the base year
Definition
changes about every 10 years (food, housing, transportation etc.)
Term

CPI to determine prices

Definition

price of earlier year x (later yr CPI/earlier yr CPI) = later year price

Term
8 major categories for the market basket of goods and services
Definition

food and beverages

housing

apparel

transportation

medical care

recreation

education and commmunication

other goods and services

Term
Four major uses of CPI
Definition

1.) To evaluate and determine economic policy (to make economic)

2.) To compare prices at certain times

3.) To adjust other economic data for inflation

4.) To determine salary and price adjustments

Term
5 major criticisms of CPI
Definition

1.) market basket may not reflect current spending priorities

2.) If the price of one item rises, the consumers will substitute another

3.) The CPI does not adjust for changes in quality (it assumes if ppl buy something one yr they will the next)

4.) does not take advantage of sale prices

5.) does not measure prices for rual Americans

Term
Leading Economic Indicators
Definition
highs, lows, and changes tend to precede changes in the economy
Term
Lagging economic indicater
Definition
changes follow changes in the economy
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