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CSU / Statistics / STAT 301 / What are the characteristics of the normal distribution?

What are the characteristics of the normal distribution?

What are the characteristics of the normal distribution?

Description

School: Colorado State University
Department: Statistics
Course: Introduction to Applied Statistical Methods
Professor: Zachary weller
Term: Winter 2016
Tags: z score, x value, Probability, normal distribution, and stat301
Cost: Free
Name: Stat 301 Lecture 6 Notes
Description: These notes cover normal distributions, probability, z-score, and x values.
Uploaded: 02/09/2016
8 Pages 123 Views 6 Unlocks
Reviews

Nella Weber III (Rating: )

So much better than office hours. Needed something I could understand, and I got it. Will be turning back to StudySoup in the future



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"}.lst-kix_33p2iala2tlr-6 > li:before{content:"● "}ol.lst-kix_71khwt9gtz2b-6.start{counter-reset:lst-ctn-kix_71khwt9gtz2b-6 0}.lst-kix_1re4bq98nmk8-8 > li{counter-increment:lst-ctn-kix_1re4bq98nmk8-8}ol.lst-kix_90qngfuddmmr-7.start{counter-reset:lst-ctn-kix_90qngfuddmmr-7 0}ol.lst-kix_wu6smywf4n3f-7.start{counter-reset:lst-ctn-kix_wu6smywf4n3f-7 0}.lst-kix_tr04c2faj7hz-6 > li{counter-increment:lst-ctn-kix_tr04c2faj7hz-6}.lst-kix_71khwt9gtz2b-6 > li{counter-increment:lst-ctn-kix_71khwt9gtz2b-6}.lst-kix_tr04c2faj7hz-5 > li:before{content:"" counter(lst-ctn-kix_tr04c2faj7hz-5,decimal) ". "}.lst-kix_tr04c2faj7hz-6 > li:before{content:"" counter(lst-ctn-kix_tr04c2faj7hz-6,lower-latin) ". "}.lst-kix_tr04c2faj7hz-7 > li:before{content:"" counter(lst-ctn-kix_tr04c2faj7hz-7,lower-roman) ". "}ol.lst-kix_1re4bq98nmk8-2.start{counter-reset:lst-ctn-kix_1re4bq98nmk8-2 0}ol.lst-kix_wu6smywf4n3f-0.start{counter-reset:lst-ctn-kix_wu6smywf4n3f-0 0}.lst-kix_tr04c2faj7hz-8 > li:before{content:"" counter(lst-ctn-kix_tr04c2faj7hz-8,decimal) ". "}.lst-kix_1re4bq98nmk8-5 > li:before{content:"" counter(lst-ctn-kix_1re4bq98nmk8-5,decimal) ". "}.lst-kix_1re4bq98nmk8-4 > li:before{content:"" counter(lst-ctn-kix_1re4bq98nmk8-4,lower-roman) ". "}ol.lst-kix_tr04c2faj7hz-6.start{counter-reset:lst-ctn-kix_tr04c2faj7hz-6 0}.lst-kix_1re4bq98nmk8-2 > li:before{content:"" counter(lst-ctn-kix_1re4bq98nmk8-2,decimal) ". "}.lst-kix_1re4bq98nmk8-1 > li:before{content:"" counter(lst-ctn-kix_1re4bq98nmk8-1,lower-roman) ". "}.lst-kix_1re4bq98nmk8-3 > li:before{content:"" counter(lst-ctn-kix_1re4bq98nmk8-3,lower-latin) ". "}ol.lst-kix_1re4bq98nmk8-8.start{counter-reset:lst-ctn-kix_1re4bq98nmk8-8 0}.lst-kix_wu6smywf4n3f-4 > li{counter-increment:lst-ctn-kix_wu6smywf4n3f-4}.lst-kix_1re4bq98nmk8-0 > li:before{content:"" counter(lst-ctn-kix_1re4bq98nmk8-0,lower-latin) ". "}ol.lst-kix_1re4bq98nmk8-1.start{counter-reset:lst-ctn-kix_1re4bq98nmk8-1 0}.lst-kix_71khwt9gtz2b-8 > li{counter-increment:lst-ctn-kix_71khwt9gtz2b-8}.lst-kix_wu6smywf4n3f-7 > li{counter-increment:lst-ctn-kix_wu6smywf4n3f-7}.lst-kix_71khwt9gtz2b-2 > li{counter-increment:lst-ctn-kix_71khwt9gtz2b-2}.lst-kix_svgcjpcqhpwq-8 > li{counter-increment:lst-ctn-kix_svgcjpcqhpwq-8}.lst-kix_svgcjpcqhpwq-5 > li{counter-increment:lst-ctn-kix_svgcjpcqhpwq-5}ol.lst-kix_wu6smywf4n3f-6.start{counter-reset:lst-ctn-kix_wu6smywf4n3f-6 0}ol.lst-kix_71khwt9gtz2b-1.start{counter-reset:lst-ctn-kix_71khwt9gtz2b-1 0}ol.lst-kix_90qngfuddmmr-0.start{counter-reset:lst-ctn-kix_90qngfuddmmr-0 0}ol.lst-kix_tr04c2faj7hz-7.start{counter-reset:lst-ctn-kix_tr04c2faj7hz-7 0}ol.lst-kix_tr04c2faj7hz-0.start{counter-reset:lst-ctn-kix_tr04c2faj7hz-0 0}.lst-kix_1re4bq98nmk8-4 > li{counter-increment:lst-ctn-kix_1re4bq98nmk8-4}.lst-kix_1re4bq98nmk8-6 > li:before{content:"" counter(lst-ctn-kix_1re4bq98nmk8-6,lower-latin) ". "}.lst-kix_1re4bq98nmk8-1 > li{counter-increment:lst-ctn-kix_1re4bq98nmk8-1}.lst-kix_1re4bq98nmk8-7 > li:before{content:"" counter(lst-ctn-kix_1re4bq98nmk8-7,lower-roman) ". "}.lst-kix_1re4bq98nmk8-8 > li:before{content:"" counter(lst-ctn-kix_1re4bq98nmk8-8,decimal) ". "}ol.lst-kix_90qngfuddmmr-6.start{counter-reset:lst-ctn-kix_90qngfuddmmr-6 0}ul.lst-kix_33p2iala2tlr-7{list-style-type:none}ul.lst-kix_33p2iala2tlr-6{list-style-type:none}ul.lst-kix_33p2iala2tlr-8{list-style-type:none}ul.lst-kix_33p2iala2tlr-3{list-style-type:none}.lst-kix_90qngfuddmmr-7 > li{counter-increment:lst-ctn-kix_90qngfuddmmr-7}ul.lst-kix_33p2iala2tlr-2{list-style-type:none}ol.lst-kix_1re4bq98nmk8-0.start{counter-reset:lst-ctn-kix_1re4bq98nmk8-0 0}ul.lst-kix_33p2iala2tlr-5{list-style-type:none}ul.lst-kix_33p2iala2tlr-4{list-style-type:none}.lst-kix_wu6smywf4n3f-6 > li{counter-increment:lst-ctn-kix_wu6smywf4n3f-6}ul.lst-kix_33p2iala2tlr-1{list-style-type:none}.lst-kix_tr04c2faj7hz-2 > li{counter-increment:lst-ctn-kix_tr04c2faj7hz-2}ul.lst-kix_33p2iala2tlr-0{list-style-type:none}ol.lst-kix_wu6smywf4n3f-5.start{counter-reset:lst-ctn-kix_wu6smywf4n3f-5 0}.lst-kix_90qngfuddmmr-6 > li{counter-increment:lst-ctn-kix_90qngfuddmmr-6}.lst-kix_1re4bq98nmk8-3 > li{counter-increment:lst-ctn-kix_1re4bq98nmk8-3}.lst-kix_71khwt9gtz2b-2 > li:before{content:"" counter(lst-ctn-kix_71khwt9gtz2b-2,lower-roman) ". "}.lst-kix_71khwt9gtz2b-4 > li:before{content:"" counter(lst-ctn-kix_71khwt9gtz2b-4,lower-latin) ". "}.lst-kix_90qngfuddmmr-0 > li:before{content:"" counter(lst-ctn-kix_90qngfuddmmr-0,decimal) ". "}ol.lst-kix_71khwt9gtz2b-7{list-style-type:none}ol.lst-kix_71khwt9gtz2b-8{list-style-type:none}ol.lst-kix_90qngfuddmmr-5.start{counter-reset:lst-ctn-kix_90qngfuddmmr-5 0}ol.lst-kix_71khwt9gtz2b-5{list-style-type:none}ol.lst-kix_71khwt9gtz2b-6{list-style-type:none}.lst-kix_90qngfuddmmr-2 > li:before{content:"" counter(lst-ctn-kix_90qngfuddmmr-2,lower-roman) ". "}.lst-kix_svgcjpcqhpwq-7 > li{counter-increment:lst-ctn-kix_svgcjpcqhpwq-7}ol.lst-kix_71khwt9gtz2b-3{list-style-type:none}.lst-kix_71khwt9gtz2b-0 > li:before{content:"" counter(lst-ctn-kix_71khwt9gtz2b-0,decimal) ". "}ol.lst-kix_71khwt9gtz2b-4{list-style-type:none}ol.lst-kix_71khwt9gtz2b-1{list-style-type:none}ol.lst-kix_71khwt9gtz2b-2{list-style-type:none}ol.lst-kix_71khwt9gtz2b-0{list-style-type:none}.lst-kix_tr04c2faj7hz-1 > li{counter-increment:lst-ctn-kix_tr04c2faj7hz-1}.lst-kix_90qngfuddmmr-6 > li:before{content:"" counter(lst-ctn-kix_90qngfuddmmr-6,decimal) ". "}ol.lst-kix_1re4bq98nmk8-7{list-style-type:none}.lst-kix_90qngfuddmmr-4 > li:before{content:"" counter(lst-ctn-kix_90qngfuddmmr-4,lower-latin) ". "}.lst-kix_90qngfuddmmr-8 > li:before{content:"" counter(lst-ctn-kix_90qngfuddmmr-8,lower-roman) ". "}.lst-kix_1re4bq98nmk8-2 > li{counter-increment:lst-ctn-kix_1re4bq98nmk8-2}ol.lst-kix_1re4bq98nmk8-8{list-style-type:none}ol.lst-kix_1re4bq98nmk8-5{list-style-type:none}ol.lst-kix_1re4bq98nmk8-6{list-style-type:none}ol.lst-kix_1re4bq98nmk8-3{list-style-type:none}ol.lst-kix_1re4bq98nmk8-4{list-style-type:none}ol.lst-kix_1re4bq98nmk8-1{list-style-type:none}.lst-kix_71khwt9gtz2b-6 > li:before{content:"" counter(lst-ctn-kix_71khwt9gtz2b-6,decimal) ". "}ol.lst-kix_svgcjpcqhpwq-6.start{counter-reset:lst-ctn-kix_svgcjpcqhpwq-6 0}ol.lst-kix_1re4bq98nmk8-2{list-style-type:none}ol.lst-kix_1re4bq98nmk8-0{list-style-type:none}ol.lst-kix_tr04c2faj7hz-2.start{counter-reset:lst-ctn-kix_tr04c2faj7hz-2 0}.lst-kix_svgcjpcqhpwq-6 > li{counter-increment:lst-ctn-kix_svgcjpcqhpwq-6}.lst-kix_tr04c2faj7hz-0 > li{counter-increment:lst-ctn-kix_tr04c2faj7hz-0}ol.lst-kix_tr04c2faj7hz-5.start{counter-reset:lst-ctn-kix_tr04c2faj7hz-5 0}.lst-kix_90qngfuddmmr-5 > li{counter-increment:lst-ctn-kix_90qngfuddmmr-5}.lst-kix_71khwt9gtz2b-8 > li:before{content:"" counter(lst-ctn-kix_71khwt9gtz2b-8,lower-roman) ". "}ol.lst-kix_tr04c2faj7hz-3.start{counter-reset:lst-ctn-kix_tr04c2faj7hz-3 0}.lst-kix_tr04c2faj7hz-4 > li:before{content:"" counter(lst-ctn-kix_tr04c2faj7hz-4,lower-roman) ". "}.lst-kix_g02cvfhtrshw-6 > li:before{content:"● "}.lst-kix_tr04c2faj7hz-2 > li:before{content:"" counter(lst-ctn-kix_tr04c2faj7hz-2,decimal) ". "}.lst-kix_71khwt9gtz2b-1 > li{counter-increment:lst-ctn-kix_71khwt9gtz2b-1}ol.lst-kix_90qngfuddmmr-3.start{counter-reset:lst-ctn-kix_90qngfuddmmr-3 0}.lst-kix_g02cvfhtrshw-4 > li:before{content:"○ "}.lst-kix_tr04c2faj7hz-0 > li:before{content:"" counter(lst-ctn-kix_tr04c2faj7hz-0,lower-latin) ". "}.lst-kix_71khwt9gtz2b-0 > li{counter-increment:lst-ctn-kix_71khwt9gtz2b-0}.lst-kix_g02cvfhtrshw-0 > li:before{content:"● "}.lst-kix_g02cvfhtrshw-2 > li:before{content:"■ "}.lst-kix_71khwt9gtz2b-7 > li{counter-increment:lst-ctn-kix_71khwt9gtz2b-7}ol.lst-kix_90qngfuddmmr-2.start{counter-reset:lst-ctn-kix_90qngfuddmmr-2 0}ol.lst-kix_wu6smywf4n3f-3.start{counter-reset:lst-ctn-kix_wu6smywf4n3f-3 0}ol.lst-kix_tr04c2faj7hz-8{list-style-type:none}ol.lst-kix_tr04c2faj7hz-4{list-style-type:none}ol.lst-kix_tr04c2faj7hz-5{list-style-type:none}ol.lst-kix_tr04c2faj7hz-6{list-style-type:none}ol.lst-kix_tr04c2faj7hz-7{list-style-type:none}ol.lst-kix_tr04c2faj7hz-0{list-style-type:none}.lst-kix_tr04c2faj7hz-7 > li{counter-increment:lst-ctn-kix_tr04c2faj7hz-7}ol.lst-kix_tr04c2faj7hz-1{list-style-type:none}ol.lst-kix_tr04c2faj7hz-2{list-style-type:none}ol.lst-kix_tr04c2faj7hz-3{list-style-type:none}.lst-kix_wu6smywf4n3f-5 > li{counter-increment:lst-ctn-kix_wu6smywf4n3f-5}ol.lst-kix_wu6smywf4n3f-2.start{counter-reset:lst-ctn-kix_wu6smywf4n3f-2 0}ol.lst-kix_svgcjpcqhpwq-8.start{counter-reset:lst-ctn-kix_svgcjpcqhpwq-8 0}.lst-kix_g02cvfhtrshw-8 > li:before{content:"■ "}ol.lst-kix_svgcjpcqhpwq-4.start{counter-reset:lst-ctn-kix_svgcjpcqhpwq-4 0}.lst-kix_svgcjpcqhpwq-0 > li{counter-increment:lst-ctn-kix_svgcjpcqhpwq-0}ol.lst-kix_tr04c2faj7hz-4.start{counter-reset:lst-ctn-kix_tr04c2faj7hz-4 0}.lst-kix_90qngfuddmmr-0 > li{counter-increment:lst-ctn-kix_90qngfuddmmr-0}.lst-kix_wu6smywf4n3f-6 > li:before{content:"" counter(lst-ctn-kix_wu6smywf4n3f-6,lower-latin) ". "}.lst-kix_wu6smywf4n3f-4 > li:before{content:"" counter(lst-ctn-kix_wu6smywf4n3f-4,lower-roman) ". "}.lst-kix_wu6smywf4n3f-8 > li:before{content:"" counter(lst-ctn-kix_wu6smywf4n3f-8,decimal) ". "}.lst-kix_wu6smywf4n3f-1 > li{counter-increment:lst-ctn-kix_wu6smywf4n3f-1}.lst-kix_wu6smywf4n3f-3 > li:before{content:"" counter(lst-ctn-kix_wu6smywf4n3f-3,lower-latin) ". "}ol.lst-kix_wu6smywf4n3f-4.start{counter-reset:lst-ctn-kix_wu6smywf4n3f-4 0}.lst-kix_wu6smywf4n3f-7 > li:before{content:"" counter(lst-ctn-kix_wu6smywf4n3f-7,lower-roman) ". "}ol.lst-kix_90qngfuddmmr-4.start{counter-reset:lst-ctn-kix_90qngfuddmmr-4 0}.lst-kix_wu6smywf4n3f-5 > li:before{content:"" counter(lst-ctn-kix_wu6smywf4n3f-5,decimal) ". "}ol.lst-kix_71khwt9gtz2b-3.start{counter-reset:lst-ctn-kix_71khwt9gtz2b-3 0}.lst-kix_71khwt9gtz2b-3 > li{counter-increment:lst-ctn-kix_71khwt9gtz2b-3}ol.lst-kix_wu6smywf4n3f-8{list-style-type:none}.lst-kix_wu6smywf4n3f-0 > li:before{content:"" counter(lst-ctn-kix_wu6smywf4n3f-0,lower-latin) ". "}ol.lst-kix_wu6smywf4n3f-6{list-style-type:none}ol.lst-kix_wu6smywf4n3f-7{list-style-type:none}ol.lst-kix_wu6smywf4n3f-4{list-style-type:none}ol.lst-kix_wu6smywf4n3f-5{list-style-type:none}.lst-kix_90qngfuddmmr-2 > li{counter-increment:lst-ctn-kix_90qngfuddmmr-2}.lst-kix_wu6smywf4n3f-2 > li:before{content:"" counter(lst-ctn-kix_wu6smywf4n3f-2,decimal) ". "}.lst-kix_wu6smywf4n3f-1 > li:before{content:"" counter(lst-ctn-kix_wu6smywf4n3f-1,lower-roman) ". "}ol.lst-kix_wu6smywf4n3f-2{list-style-type:none}ol.lst-kix_wu6smywf4n3f-3{list-style-type:none}ol.lst-kix_wu6smywf4n3f-0{list-style-type:none}.lst-kix_wu6smywf4n3f-3 > li{counter-increment:lst-ctn-kix_wu6smywf4n3f-3}ol.lst-kix_wu6smywf4n3f-1{list-style-type:none}.lst-kix_90qngfuddmmr-4 > li{counter-increment:lst-ctn-kix_90qngfuddmmr-4}.lst-kix_tr04c2faj7hz-5 > li{counter-increment:lst-ctn-kix_tr04c2faj7hz-5}ol.lst-kix_71khwt9gtz2b-2.start{counter-reset:lst-ctn-kix_71khwt9gtz2b-2 0}ul.lst-kix_g02cvfhtrshw-5{list-style-type:none}ul.lst-kix_g02cvfhtrshw-6{list-style-type:none}ul.lst-kix_g02cvfhtrshw-3{list-style-type:none}ul.lst-kix_g02cvfhtrshw-4{list-style-type:none}.lst-kix_71khwt9gtz2b-5 > li{counter-increment:lst-ctn-kix_71khwt9gtz2b-5}ul.lst-kix_g02cvfhtrshw-7{list-style-type:none}ul.lst-kix_g02cvfhtrshw-8{list-style-type:none}ol.lst-kix_90qngfuddmmr-0{list-style-type:none}ol.lst-kix_90qngfuddmmr-2{list-style-type:none}ol.lst-kix_90qngfuddmmr-1{list-style-type:none}ol.lst-kix_90qngfuddmmr-4{list-style-type:none}ul.lst-kix_g02cvfhtrshw-1{list-style-type:none}ol.lst-kix_90qngfuddmmr-3{list-style-type:none}ul.lst-kix_g02cvfhtrshw-2{list-style-type:none}ol.lst-kix_90qngfuddmmr-6{list-style-type:none}ol.lst-kix_90qngfuddmmr-5{list-style-type:none}ul.lst-kix_g02cvfhtrshw-0{list-style-type:none}ol.lst-kix_90qngfuddmmr-8{list-style-type:none}ol.lst-kix_90qngfuddmmr-7{list-style-type:none}.lst-kix_svgcjpcqhpwq-2 > li{counter-increment:lst-ctn-kix_svgcjpcqhpwq-2}.lst-kix_1re4bq98nmk8-7 > li{counter-increment:lst-ctn-kix_1re4bq98nmk8-7}ol.lst-kix_71khwt9gtz2b-8.start{counter-reset:lst-ctn-kix_71khwt9gtz2b-8 0}ol.lst-kix_svgcjpcqhpwq-5.start{counter-reset:lst-ctn-kix_svgcjpcqhpwq-5 0}ol.lst-kix_90qngfuddmmr-8.start{counter-reset:lst-ctn-kix_90qngfuddmmr-8 0}ol.lst-kix_wu6smywf4n3f-8.start{counter-reset:lst-ctn-kix_wu6smywf4n3f-8 0}.lst-kix_71khwt9gtz2b-3 > li:before{content:"" counter(lst-ctn-kix_71khwt9gtz2b-3,decimal) ". "}ol.lst-kix_71khwt9gtz2b-4.start{counter-reset:lst-ctn-kix_71khwt9gtz2b-4 0}.lst-kix_90qngfuddmmr-1 > li:before{content:"" counter(lst-ctn-kix_90qngfuddmmr-1,lower-latin) ". "}ol.lst-kix_71khwt9gtz2b-7.start{counter-reset:lst-ctn-kix_71khwt9gtz2b-7 0}.lst-kix_90qngfuddmmr-3 > li:before{content:"" counter(lst-ctn-kix_90qngfuddmmr-3,decimal) ". "}.lst-kix_71khwt9gtz2b-1 > li:before{content:"" counter(lst-ctn-kix_71khwt9gtz2b-1,lower-latin) ". "}ol.lst-kix_1re4bq98nmk8-3.start{counter-reset:lst-ctn-kix_1re4bq98nmk8-3 0}.lst-kix_90qngfuddmmr-5 > li:before{content:"" counter(lst-ctn-kix_90qngfuddmmr-5,lower-roman) ". "}ol.lst-kix_1re4bq98nmk8-6.start{counter-reset:lst-ctn-kix_1re4bq98nmk8-6 0}.lst-kix_71khwt9gtz2b-7 > li:before{content:"" counter(lst-ctn-kix_71khwt9gtz2b-7,lower-latin) ". "}.lst-kix_90qngfuddmmr-7 > li:before{content:"" counter(lst-ctn-kix_90qngfuddmmr-7,lower-latin) ". "}.lst-kix_1re4bq98nmk8-5 > li{counter-increment:lst-ctn-kix_1re4bq98nmk8-5}.lst-kix_71khwt9gtz2b-5 > li:before{content:"" counter(lst-ctn-kix_71khwt9gtz2b-5,lower-roman) ". "}ol.lst-kix_svgcjpcqhpwq-3.start{counter-reset:lst-ctn-kix_svgcjpcqhpwq-3 0}.lst-kix_tr04c2faj7hz-3 > li{counter-increment:lst-ctn-kix_tr04c2faj7hz-3}ol.lst-kix_tr04c2faj7hz-8.start{counter-reset:lst-ctn-kix_tr04c2faj7hz-8 0}ol.lst-kix_svgcjpcqhpwq-0.start{counter-reset:lst-ctn-kix_svgcjpcqhpwq-0 0}.lst-kix_90qngfuddmmr-8 > li{counter-increment:lst-ctn-kix_90qngfuddmmr-8}.lst-kix_g02cvfhtrshw-7 > li:before{content:"○ "}.lst-kix_tr04c2faj7hz-3 > li:before{content:"" counter(lst-ctn-kix_tr04c2faj7hz-3,lower-latin) ". "}.lst-kix_svgcjpcqhpwq-4 > li{counter-increment:lst-ctn-kix_svgcjpcqhpwq-4}.lst-kix_g02cvfhtrshw-3 > li:before{content:"● "}.lst-kix_tr04c2faj7hz-1 > li:before{content:"" counter(lst-ctn-kix_tr04c2faj7hz-1,lower-roman) ". "}.lst-kix_wu6smywf4n3f-8 > li{counter-increment:lst-ctn-kix_wu6smywf4n3f-8}.lst-kix_g02cvfhtrshw-5 > li:before{content:"■ "}ol.lst-kix_1re4bq98nmk8-5.start{counter-reset:lst-ctn-kix_1re4bq98nmk8-5 0}ol.lst-kix_svgcjpcqhpwq-2.start{counter-reset:lst-ctn-kix_svgcjpcqhpwq-2 0}ol.lst-kix_71khwt9gtz2b-5.start{counter-reset:lst-ctn-kix_71khwt9gtz2b-5 0}.lst-kix_1re4bq98nmk8-0 > li{counter-increment:lst-ctn-kix_1re4bq98nmk8-0}.lst-kix_svgcjpcqhpwq-3 > li{counter-increment:lst-ctn-kix_svgcjpcqhpwq-3}.lst-kix_90qngfuddmmr-3 > li{counter-increment:lst-ctn-kix_90qngfuddmmr-3}.lst-kix_1re4bq98nmk8-6 > li{counter-increment:lst-ctn-kix_1re4bq98nmk8-6}.lst-kix_tr04c2faj7hz-4 > li{counter-increment:lst-ctn-kix_tr04c2faj7hz-4}.lst-kix_g02cvfhtrshw-1 > li:before{content:"○ "}ol.lst-kix_svgcjpcqhpwq-1.start{counter-reset:lst-ctn-kix_svgcjpcqhpwq-1 0}.lst-kix_wu6smywf4n3f-2 > li{counter-increment:lst-ctn-kix_wu6smywf4n3f-2}ol.lst-kix_1re4bq98nmk8-4.start{counter-reset:lst-ctn-kix_1re4bq98nmk8-4 0}

Z.D. Weller                         6:Normal Distribution         STAT301 - Spring 2016

  • Open Intro: chapter 3.1
  • Peck and Devore: chapter 7.3

Don't forget about the age old question of What does collectivist mean?

Perhaps the most important distribution in probability and statistics is the normal distribution. The normal distribution has the “bell - curve” shape and is commonly used to model data generating processes. Many naturally occurring processes follow a normal distribution, e.g., people heights. The normal distribution also plays a key role in Central Limit Theorem, which is the primary result we will use to do statistical reference.

  1. Characteristics of the Normal Distribution
  1. A continuous random variable taking values -< x <.
  2. A normal distribution is completely characterized by two parameters:
  1. Mean
  1. M - measures the center of the distribution
  2. M move to the left, the distribution is negatively skewed
  3. M moves to the right, the distribution is positively skewed
  1. Variance / Standard Deviation
  1. - measures the spread of a distribution
  2. Changing  makes distribution narrower / wider
  3. Standard deviation -

Don't forget about the age old question of Who is martin luther?

    C. Probability Density Function(PDF), f(x) (gives the bell - shaped curve)

        

Z.D. Weller                6:Normal Distribution                STAT301 - Spring 2016Don't forget about the age old question of What are the elements of abnormality?

     D. The cumulative distribution function(CDF) for the normal distribution does

        Not have a nice, closed form. Consequently, probabilities and percentiles

for normal distributions can be found by using a Z-chart or a calculator.

      E. Important fact: normal distribution are symmetric. In other words, for z > 0. We also discuss several other topics like What are the given circumstances of a play?
We also discuss several other topics like What are the major periods of the media?

We can write:

P(Z>z) = P(Z<-z)

  • Shaded area in the upper tail is equal to the shaded area in the lower tail

      2. Standard Normal Distribution

  1. A standard normal distribution is a normal distribution with:
  1. M = 0
  2. O = 1
  1. Z - chart
  1. The z - chart gives probabilities ( area under the curve) for a standard normal distribution.
  2. For a given z - value, the z - chart gives the area under the curve to left of the z - value.
  3. The z - chart can be used to find percentiles for a standard normal distribution, i.e. given a probability (area under the curve), what is the corresponding z - value?

     3. Other Normal Distributions

  1. Most normal distributions don’t have
  2. Probabilities and percentiles can still be found by “converting” the normal distribution to a standard normal distribution via z - scores

We also discuss several other topics like Rupel pushes a box 5.00 m by applying a 25.0-n horizontal force. what work does she do?

Z.D. Weller                6:Normal Distribution                STAT301 - Spring 2016

     C. Important Fact: if X is a random variable following a normal distribution with mean  and standard deviation , then

        

Has a standard normal distribution.

     D. Notation: we write         N = normal         (mean, variance)

        For example, suppose X represents the daily high temperature in Fort Collins in the month of May. (71,9) means that the random variable X follows a normal distribution with a mean of = 71 and standard deviation of

    E. Important relationship for normal distributions

   F. Empirical Rule for Normal Distributions: for any normal distribution.

Approximately.

  1. Approximately 68% of the data falls within 1 standard deviation of the mean
  2. Approximately 95% of the data falls within 2 standard deviation of the mean
  3. Approximately 99% of the data falls within 3 standard deviations of the mean

 

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