Year 1 Prob Flashcards

1
Q

def sample space, sample point, evento

A

e

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2
Q

operations of set theory

A

e

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3
Q

disjoiint, pairwise

A

e

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3
Q

laws of set theory (comm)

A

e

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4
Q

collections (de morgan)

A

e

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5
Q

event space, satisfies

A

e

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6
Q

prob measure and axoims

A

e

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7
Q

calculus of probabilities

A

e

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8
Q

finite additivity of disjoint events

A

e

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9
Q

probswe between 0, 1

A

e

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10
Q

other probabloity results (partition rule etc)

A

e

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11
Q

specify porobablities

A

e

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12
Q

classical interpretation

A

e

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13
Q

equally likely

A

e

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14
Q

examples

A

e

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15
Q

multiplication principle

A

e

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16
Q

combination, oermutation

A

e

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17
Q

sampling without replacement proof

A

e

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18
Q

sampling with replacement

A

e

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19
Q

def conditional prob

A

e

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20
Q

multiplication law

A

e

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21
Q

partition

A

e

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22
Q

law of total probablility

A

e

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23
Q

bayes theorem

A

e

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24
Q

independence

A

e

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25
Q

indep, complem

A

e

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26
Q

def random variable

A

e

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27
Q

def discrete rv

A

e

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28
Q

def continuos rc

A

e

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29
Q

induced prob

A

e

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30
Q

probablity mass function

A

e

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31
Q

cumulative distribution function

A

e

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32
Q

properties of dcfs

A

e

33
Q

properties of intervals

A

e

34
Q

defining cdfs

A

e

35
Q

Bernoulli trial

A

e

36
Q

bernoulli distribution

A

e

37
Q

binomial distribution

A

e

38
Q

eometric distribution

A

e

39
Q

Poisson distribuitions

A

e

40
Q

bivariate distributions

A

e

41
Q

joint pmf

A

e

42
Q

marginal pmf

A

e

43
Q

indeoendence of drv

A

e

44
Q

alternative def independence

A

e

45
Q

sums of ind drv

A

e

46
Q

uniform distribtution

A

e

47
Q

exponential distribution

A

e

48
Q

normal distribution

A

e

49
Q

probabliilty density function

A

e

50
Q

density of uniform

A

e

51
Q

density exponential

A

e

52
Q

bivariate dsist(con)

A

e

53
Q

JOINT CDF CONTINN

A

E

54
Q

joiint pdf contin

A

e

55
Q

independence crv

A

e

56
Q

alternative crv ind

A

e

57
Q

expectation crv

A

e

58
Q

expectation drv

A

e

59
Q

non negatrve rv exp

A

e

60
Q

unconscious statistician

A

e

61
Q

ex constant is constant

A

e

62
Q

linearity of expectation

A

e

63
Q

modulus over modulus expectation

A

e

64
Q

expected value product of irv

A

e

65
Q

variance def

A

e

66
Q

variance positive

A

e

67
Q

calculating the variance

A

e

68
Q

variance of a constant is 0

A

e

69
Q

variance of a linear function

A

e

70
Q

covariance

A

e

71
Q

correlation

A

e

72
Q

calculating the3 covaraiance

A

e

73
Q

independence 0 cov

A

e

74
Q

variance of a sum of rv

A

e

75
Q

sum of n rv

A

ew

76
Q

sum on ind rv

A

e

77
Q

Covariance of linear functions of rvs

A

e

78
Q

Law of large nUMBERS

A

E

79
Q
A