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Class notes for STATS 380 Statistics and Probability

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Class notes for STATS 380 Statistics and Probability at UNL with Carson Trego.











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Uploaded on
May 22, 2025
Number of pages
21
Written in
2024/2025
Type
Class notes
Professor(s)
Carson trego
Contains
All classes

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Chapter 1



Describine : methods to snow sample data

Inferential : Using daia to draw conclusions


Population : collection of an elements in a group

Parameter : Measurements to describe the expriation

sample : Sun collection of elements

Statistic : Measurements to describe a sample

ladden sampions : every element equally likely for select


based sample : Sample is not representative of Pop.

Control group : Studied group lot tested on



f
Placebo group : fake Treatment group to actual effect

experimental unit . The ihat
Unit is treated


sampling Unit : The Part or characteristic of the

experimental ihai
Unit is measured .




variance :
S
=
standard dev :
o= 5

, ↳M
Uniform symmetric skewed Symmetric Non-symm .




unimodal Sight bimodal bimodal



popristian mean = mean of poliation

sample mean of mean of sample

Sample Standard deviation deviation In results

Population variance o variance in Population

sample sizeN number of unitsIn study

Chapter z


Sambie slace : all lossible cutcomes


Eveni : One outcome of sample space

SYMbOIS :
A = A= I A complement ⑭
Ale A and 8 everiat ⑳
Aug turburkom

, Independence : events don't affect each other ·
Can
happenTogether.
Mutually exclusive : cane happen together.
ordered : Order of evenis Ratiers

replacement : Events can happen Muriple times
unc low

= AVAI
· Al IA sel 8
·


·
ATA = G · S



Vistoini events : Can be one or the other, not
both

·
P(A) : 1 P(t) -




·
P(ave) Plai =
+ P(8)-Plane
* If Mutually exclusive .
PLANB) = 0

·
ALB if PLA)aP(8)
· Pla18) = P
P(8)
Independent PCA) P(O)
* If
·P(A18) = :




· P(8/A) = P(U)
* If dependent oP(ANE) =
PIBA) PLA)
·




· P(B(A) = 1
* If A 38 o P(ARB) PLA)
,
=


·
PlAuBl = P(8)
factorials
Ng Nede
:

gamma function
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