Chapter 8 Flashcards

1
Q

Permutation

A

An arrangement of items or events in which ORDER MATTERS

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2
Q

Probability

A

Number of favorable outcomes / number of total outcomes

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3
Q

Combinations

A

Arrangement of objects where order doesn’t matter

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4
Q

Fundamental counting principle

A

The number of ways that a combination of events can occur (tie business example)

if there are p ways to do one thing, and q ways to do another thing, then there are p×q ways to do both things.

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5
Q

Random experiment

A

Can’t be sure of the outcome

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6
Q

Sample space

A

Set whose numbers area ll possible outcomes of a random experiment

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7
Q

event

A

Part of the sample space

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8
Q

Conditional probability

A

The probability of an event occurring based on a previous event already taking place: P(A|B)

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9
Q

Dependent events

A

Their outcome depends on previous events

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10
Q

Independent probability

A

Doesn’t influence another probability

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11
Q

Independent event

A

When the probability of an event is not affected by the previous event

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12
Q

Conditional Probability formula with independent events

A

P(B|A)=P(B)

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13
Q

Intersection of A & B

A

P(B|A)=P(A & B)/P(A)

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14
Q

Compound events

A

More than 1 possible outcome, finding the sum of all probabilities and removing the overlapping ones

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15
Q

Exclusive compound event

A

Multiple events DO NOT overlap

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16
Q

Inclusive compound event

A

Multiple events overlap

17
Q

formula for compound event

A

P(C)=P(A)+P(B)-P(A&B)

18
Q

probability distribution

A

A function or rule that assigns probabilities of occurrences to each possible outcome of a random event

19
Q

binomial distribution

A

used to model the probability of obtaining one of two outcomes, a certain number of times (K) out of a fixed number of trials (N) of a random event

20
Q

Expected / success

A

P

21
Q

fail

A

1-P

22
Q

Rules for binomial distribution

A
  1. Only 2 mutually exclusive outcomes
  2. fixed number of repeated trials
  3. each trial is an independent event
  4. probability of success is fixed
23
Q

Calculating binomial distribution

A
  1. plug in correct values
  2. find binomial coefficient
  3. evaluate the binomial probability formula
24
Q

Binomial coefficient formula

A

n/x = n!/x!(n-x)!

25
Q

Binomial probability formula

A

p= (N under it X)p^x (1-p)^n-x