Basics Flashcards

1
Q

What are the axioms of probability?

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2
Q

Define two views of probability

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3
Q

What is an experiment?

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4
Q

What is sample space?

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5
Q

What are events? What are independent and mutually exclusive events?

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6
Q

What are random variables?

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7
Q

What is a probabilty distribution?

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8
Q

What is conditional probability and bayes rule?

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9
Q

What is a probability density function? What is a probability mass function? What is the difference?

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10
Q

What is a cumulative distribution function?

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11
Q

What are moments of a random variable? (Bonus: what is a moment generating function?)

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12
Q

What is expectation and variance of a random variable?

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13
Q

What is covariance and correlation between 2 random variables?

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14
Q

What are some important probability mass functions? Derive their mean and variance.

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15
Q

What are some important probability density functions? Derive their mean and variance.

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16
Q

State the important theorems in probabilities and concentration inequalities

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