Probs And Stats 6 Weeks Closed

Front 1

Mutually exclusive events

Back 1

the occurrence of one precludes the occurrence of another event
the occurrence of both events is impossible
the intersection= P(E1)P(E2)=0

Front 2

Statistically independent events

Back 2

occurrence or non-occurrence of an event will not affect the probability of another event

Front 3

Collectively exhaustive events

Back 3

the union of events make up the sample space
(union of E and its compliment = S)

Front 4

Bernoulli Process

Back 4

-based on Bernoulli trials; conduct N trials
-in each trial, there are only two possibilities: the occurrence and nonoccurrence of an event
-the prob of occurrences in each trial is constant
-the trials are stat. indep.

Front 5

kurtosis

Back 5

-measure of the peakedness of a PDF about the mean
-two types:
high: σ^2 is due to infrequent extremes and the curve has sharper peak and fatter tailes
low: round peak and wide structure

Front 6

continuous distribution

Back 6

defined by PDF
density of probability is defined but there is no probability P(X=x)=0

Front 7

Variance

Back 7

measure of the scatter of the data about the mean
measure of dispersion
average of squared deviations

Front 8

Geometric discrete dist.

Back 8

probability that first success occurs on the Nth trial

Front 9

Binomial discrete dist.

Back 9

prob of number of successes in N trials

Front 10

Poisson discrete dist.

Back 10

an event can occur at random at any instant and at any point in time, statistically indep.