Stats II Flashcards

1
Q

What are the three different definitions of probability?

A

Classical
Frequentist
Subjectivist

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2
Q

What is the equation for probability?

A

p(x) = f(x) / sample space

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3
Q

What is a sample space?

A

All possible outcomes

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4
Q

Sum of frequencies = ?

A

Sample space

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5
Q

Over the long run, the relative frequency of an event is what?

A

The probability of its occurrence

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6
Q

What is a relative frequency?

A

Probability for each outcome in the distribution

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7
Q

What are the three operations?

A

Intersection
Union
Complement

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8
Q

What is the additive law?

A

probability of mutually exclusive events (disjoint) is the sum of their probabilities

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9
Q

When is the additive law not applicable?

A

When the two events in questions are not mutually exclusive

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10
Q

What is the general rule of addition?

A

need to subtract the intersection of two events

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11
Q

What is the special rule of multiplication?

A

Events are independent, then multiply their probabilities

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12
Q

or = independent or dependent?

A

Independent

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13
Q

Sum of probabilities of ALL disjoint events = ?

A

1

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14
Q

What is the prior probability?

A

The probability that is known prior to the calculation of Bayes theorem

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15
Q

What is posterior probability?

A

The probability that is calculated in Bayes theorem

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16
Q

What is a collection of one or more outcomes of an experiment?

A

An event

17
Q

A compound event is what?

A

Event that has multiple operations within it

18
Q

What are mutually exclusive events/disjoint?

A

When they cannot occur simultaneously

19
Q

What is the additive law?

A

The probability of two disjoint events occurring is the sum of their probabilities

20
Q

What is the general rule of addition?

A

If two events A and B are not mutually exclusive, then the probability that both occur is the sum of their probabilities, minus in the intersection of the two

21
Q

What is the general rule of multiplication?

A

If we know that an event A has already occurred, the probability that two events A ad B will both occur is equal to the probability of A, times the probability of B, given A.

22
Q

What is the special rule of multiplication?

A

If A and B are independent events, then the probability that both occur is the product of their probabilities