Probabilty Flashcards

1
Q

Types of random variable

A

Discrete random variable

Continuous random variable

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2
Q

What is discrete random variable

A

This is one which takes on only whole numbers (integer numbers)

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3
Q

What is continuous random variable

A

It takes on values within an interval

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4
Q

Probability distribution of discrete random variable

A

Y p(y) n(y) y(p(y) y^2 y^2py

To get p
Ncn x ncn

N(y)=p

While multiplying y(p(y)), only multiply the numerator
Eg 2x18/84 = 36/84

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5
Q

Expected value

A

Exp(x)

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6
Q

Variance

A

E(x)^2 = Ex^2p(x)

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7
Q

To find what’s in the squares on joint distribution

A
Eg
1 2 3
A b c
0 0 3
0 1 2

First square = 3c3= 1

0 0 3
0 1 2
0 2 1
0 3 0
1 0 2
1 1 1
1 2 0
1 3 0
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8
Q

Second table in joint distribution

A

Py
Yp(y)
Y2p(y)

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9
Q

Variance in joint distribution

A

Ex^2p(x) - Exp(x)

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10
Q

Covariance

A

E(xy) - e(x). E(y)

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