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Title: Introduction to Statistics First Half
Description: **INCLUDES: -Gathering & Exploring Data -Probability -Probability Distributions -Sampling Distributions
Description: **INCLUDES: -Gathering & Exploring Data -Probability -Probability Distributions -Sampling Distributions
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Introduc)on to Sta)s)cs Mid-‐Term Review
Formula Sheet
Sample Mean: 𝑥̅ = ∑
Sample std
...
dev: 𝜎 =
∑(
Standardized variable: 𝑧 =
IQR = Q3 - Q1
Lower Limit = Q1 – (1
...
5)IQR
General Addition Rule: P(A or B) = P(A) + P(B) – P(A & B)
Complementation Rule: P(AC) = 1- P(A))
Conditional Probability Rule: P(A|B) =
( & )
( )
General Multiplication Rule: P(A & B) = P(A|B) ·∙ P(B)
Independent events: P(A|B) = P(A)
If A and B are independent events: P(A & B) = P(A) ·∙ P(B)
Mean of a discrete random variable: µ =∑ 𝑥𝑃(𝑋 = 𝑥)
Binomial Probability Formula: 𝑃(𝑋 = 𝑥) =
!
!(
)!
∙ 𝑝 (1 − 𝑝)
Mean of a binomial random variable: µ = np
Std
...
of a binomial random variable: σ =
𝑛𝑝(1 − 𝑝)
Mean of the variable 𝑥̅ : 𝜇 ̅ = 𝜇
Standard deviation of the variable 𝑥̅ : 𝜎 ̅ =
√
Mean of the variable 𝑝̂ : 𝜇 = 𝑝
Standard deviation of the variable 𝑝̂ : 𝜎 =
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Title: Introduction to Statistics First Half
Description: **INCLUDES: -Gathering & Exploring Data -Probability -Probability Distributions -Sampling Distributions
Description: **INCLUDES: -Gathering & Exploring Data -Probability -Probability Distributions -Sampling Distributions