Statistics 1

luisnorth
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Maths S1 Mind Map

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luisnorth
Created by luisnorth over 5 years ago
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Statistics 1
1 Discrete Random Variables

Attachments:

1.1 Probability Distributions
1.1.1 E(X) = μ

Annotations:

  • Σxp multiply each value of x by its corresponding probability, then sum
1.1.2 Var(X)

Annotations:

  • Σx^2 * p - μ^2 Square each value of x, multiply by corresponding probablity, sum and subtract μ^2
1.2 Geometric Distribution
1.2.1 X~Geo(p)
1.2.2 Keep going until a success
1.2.3 P(X=x)

Annotations:

  • P(X=x) = (1-p)^(x-1) * p x=1,2,3...
1.2.4 E(X)

Annotations:

  • E(X) = 1/p
1.2.5 P(X>x)

Annotations:

  • P(X>x) is the same as (1-p)^x 
1.3 Binomial Distribution
1.3.1 X~B(n,p)

Annotations:

  • n number of events, p probability of success
1.3.2 P(X=x)

Annotations:

  • P(X=x)= nCx * p^x * (1-p)^(n-x) x+0,1,2... n
1.3.3 E(X)

Annotations:

  • E(X) = np
1.3.4 Var(X)

Annotations:

  • Var(X) = np(1-p)

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