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21 Cards in this Set

  • Front
  • Back

response variable

Variable that can be explained by the explanatory variable
Scatter diagram
Graph that shows the relationship between two quantitative variables.
Explanatory variable axis on Scatter diagram
Horizontal
Response variable axis on Scatter diagram
Vertical
Unusual cutoff %
Less than 5%
Independent multiplication
P(e and f) = p(E) * p(f)
Subjective probability
Outcome of probability based on personal judgement
Residual
Observed - predicted
Disjoint
Mutually exclusive
Conditional probability
"The probability of event F given event E"

Permutation or nPr

Ordered arrangement in which r objects are chosen from n and repetition is not allowed.

n! / (n-r)!

Combination or nCr

A collection, without regard to order, in which r objects are chosen from n with r<=n and with repetition

n! / r!(n-r)!

Random Variable

Numerical measure of the outcome of a probability experiment. Value decided by chance.



Denoted by X

Probability distribution

Provides possible values of the random variable and corresponding probabilities (in table, graph or mathematical formula)

Probability histogram

Horizontal = value of the random variable


Vertical = probability of each value

Standard Deviation of a Discrete Random Variable

Binomial Criteria

1. Experiment is performed a fixed number of times (each rep call a trial)



2. Trials are independent



3. Two possible outcomes (success or failure)



4. Probability of success is the same for each trial

Mean of a binomial random variable

μₓ = np

Standard deviation of binomial random variable

σₓ = sqrt( np (1-p) )

Discrete random variable



vs



Continuous random variable

Finate number of values



vs



Infinate number of values

Rules for a discrete probability

1. ΣP(x) = 1



2. 0 ≤ P(x) ≤ 1