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NIU / Engineering / COMS 223 / What other words are used to describe probability?

What other words are used to describe probability?

What other words are used to describe probability?

Description

ol.lst-kix_6cal79v636hm-6.start{counter-reset:lst-ctn-kix_6cal79v636hm-6 0}.lst-kix_x5jahadnea0u-6 > li{counter-increment:lst-ctn-kix_x5jahadnea0u-6}.lst-kix_6cal79v636hm-0 > li{counter-increment:lst-ctn-kix_6cal79v636hm-0}ol.lst-kix_h3ourm8x7h1r-0.start{counter-reset:lst-ctn-kix_h3ourm8x7h1r-0 0}.lst-kix_x5jahadnea0u-0 > li:before{content:"" counter(lst-ctn-kix_x5jahadnea0u-0,decimal) ". "}ol.lst-kix_h3ourm8x7h1r-3.start{counter-reset:lst-ctn-kix_h3ourm8x7h1r-3 0}.lst-kix_6cal79v636hm-1 > li{counter-increment:lst-ctn-kix_6cal79v636hm-1}.lst-kix_x5jahadnea0u-3 > li:before{content:"" counter(lst-ctn-kix_x5jahadnea0u-3,decimal) ". "}.lst-kix_x5jahadnea0u-5 > li:before{content:"" counter(lst-ctn-kix_x5jahadnea0u-5,lower-roman) ". "}ol.lst-kix_x5jahadnea0u-7.start{counter-reset:lst-ctn-kix_x5jahadnea0u-7 0}.lst-kix_x5jahadnea0u-7 > li{counter-increment:lst-ctn-kix_x5jahadnea0u-7}.lst-kix_x5jahadnea0u-4 > li:before{content:"" counter(lst-ctn-kix_x5jahadnea0u-4,lower-latin) ". "}.lst-kix_6cal79v636hm-7 > li:before{content:"" counter(lst-ctn-kix_6cal79v636hm-7,lower-latin) ". "}.lst-kix_x5jahadnea0u-1 > li:before{content:"" counter(lst-ctn-kix_x5jahadnea0u-1,lower-latin) ". "}.lst-kix_6cal79v636hm-8 > li:before{content:"" counter(lst-ctn-kix_6cal79v636hm-8,lower-roman) ". "}.lst-kix_x5jahadnea0u-2 > li:before{content:"" counter(lst-ctn-kix_x5jahadnea0u-2,lower-roman) ". "}.lst-kix_h3ourm8x7h1r-1 > li:before{content:"" counter(lst-ctn-kix_h3ourm8x7h1r-1,lower-latin) ". "}.lst-kix_h3ourm8x7h1r-2 > li:before{content:"" counter(lst-ctn-kix_h3ourm8x7h1r-2,lower-roman) ". "}ol.lst-kix_x5jahadnea0u-7{list-style-type:none}ol.lst-kix_h3ourm8x7h1r-6.start{counter-reset:lst-ctn-kix_h3ourm8x7h1r-6 0}ol.lst-kix_x5jahadnea0u-8{list-style-type:none}.lst-kix_h3ourm8x7h1r-0 > li:before{content:"" counter(lst-ctn-kix_h3ourm8x7h1r-0,decimal) ". "}.lst-kix_h3ourm8x7h1r-3 > li:before{content:"" counter(lst-ctn-kix_h3ourm8x7h1r-3,decimal) ". "}.lst-kix_h3ourm8x7h1r-4 > li:before{content:"" counter(lst-ctn-kix_h3ourm8x7h1r-4,lower-latin) ". "}ol.lst-kix_x5jahadnea0u-2.start{counter-reset:lst-ctn-kix_x5jahadnea0u-2 0}ol.lst-kix_x5jahadnea0u-1{list-style-type:none}.lst-kix_h3ourm8x7h1r-5 > li:before{content:"" counter(lst-ctn-kix_h3ourm8x7h1r-5,lower-roman) ". "}.lst-kix_h3ourm8x7h1r-6 > li:before{content:"" counter(lst-ctn-kix_h3ourm8x7h1r-6,decimal) ". "}.lst-kix_6cal79v636hm-2 > li{counter-increment:lst-ctn-kix_6cal79v636hm-2}ol.lst-kix_x5jahadnea0u-2{list-style-type:none}ol.lst-kix_x5jahadnea0u-0{list-style-type:none}.lst-kix_x5jahadnea0u-7 > li:before{content:"" counter(lst-ctn-kix_x5jahadnea0u-7,lower-latin) ". "}ol.lst-kix_x5jahadnea0u-5{list-style-type:none}.lst-kix_h3ourm8x7h1r-0 > li{counter-increment:lst-ctn-kix_h3ourm8x7h1r-0}ol.lst-kix_x5jahadnea0u-6{list-style-type:none}ol.lst-kix_x5jahadnea0u-3{list-style-type:none}ol.lst-kix_x5jahadnea0u-4{list-style-type:none}.lst-kix_x5jahadnea0u-6 > li:before{content:"" counter(lst-ctn-kix_x5jahadnea0u-6,decimal) ". "}.lst-kix_5kd4xqrym8v-4 > li:before{content:"○ "}.lst-kix_5kd4xqrym8v-3 > li:before{content:"● "}.lst-kix_5kd4xqrym8v-5 > li:before{content:"■ "}.lst-kix_x5jahadnea0u-8 > li:before{content:"" counter(lst-ctn-kix_x5jahadnea0u-8,lower-roman) ". "}.lst-kix_5kd4xqrym8v-8 > li:before{content:"■ "}.lst-kix_x5jahadnea0u-5 > li{counter-increment:lst-ctn-kix_x5jahadnea0u-5}.lst-kix_5kd4xqrym8v-7 > li:before{content:"○ "}.lst-kix_x5jahadnea0u-8 > li{counter-increment:lst-ctn-kix_x5jahadnea0u-8}.lst-kix_5kd4xqrym8v-6 > li:before{content:"● "}ul.lst-kix_5kd4xqrym8v-3{list-style-type:none}ul.lst-kix_5kd4xqrym8v-2{list-style-type:none}ul.lst-kix_5kd4xqrym8v-1{list-style-type:none}ul.lst-kix_5kd4xqrym8v-0{list-style-type:none}.lst-kix_5kd4xqrym8v-1 > li:before{content:"○ "}ol.lst-kix_x5jahadnea0u-8.start{counter-reset:lst-ctn-kix_x5jahadnea0u-8 0}.lst-kix_5kd4xqrym8v-2 > li:before{content:"■ "}.lst-kix_u8f2lmijmzv2-5 > li:before{content:"- "}.lst-kix_x5jahadnea0u-4 > li{counter-increment:lst-ctn-kix_x5jahadnea0u-4}.lst-kix_u8f2lmijmzv2-6 > li:before{content:"- "}.lst-kix_6cal79v636hm-4 > li{counter-increment:lst-ctn-kix_6cal79v636hm-4}ul.lst-kix_u8f2lmijmzv2-7{list-style-type:none}.lst-kix_6cal79v636hm-8 > li{counter-increment:lst-ctn-kix_6cal79v636hm-8}.lst-kix_u8f2lmijmzv2-7 > li:before{content:"- "}ul.lst-kix_u8f2lmijmzv2-8{list-style-type:none}.lst-kix_5kd4xqrym8v-0 > li:before{content:"● "}.lst-kix_u8f2lmijmzv2-8 > li:before{content:"- "}ol.lst-kix_6cal79v636hm-4.start{counter-reset:lst-ctn-kix_6cal79v636hm-4 0}ul.lst-kix_5kd4xqrym8v-8{list-style-type:none}ol.lst-kix_h3ourm8x7h1r-5.start{counter-reset:lst-ctn-kix_h3ourm8x7h1r-5 0}ul.lst-kix_5kd4xqrym8v-7{list-style-type:none}ul.lst-kix_5kd4xqrym8v-6{list-style-type:none}ul.lst-kix_5kd4xqrym8v-5{list-style-type:none}ul.lst-kix_5kd4xqrym8v-4{list-style-type:none}.lst-kix_6cal79v636hm-1 > li:before{content:"" counter(lst-ctn-kix_6cal79v636hm-1,lower-latin) ". "}.lst-kix_6cal79v636hm-3 > li:before{content:"" counter(lst-ctn-kix_6cal79v636hm-3,decimal) ". "}ol.lst-kix_h3ourm8x7h1r-0{list-style-type:none}.lst-kix_6cal79v636hm-2 > li:before{content:"" counter(lst-ctn-kix_6cal79v636hm-2,lower-roman) ". "}.lst-kix_6cal79v636hm-6 > li:before{content:"" counter(lst-ctn-kix_6cal79v636hm-6,decimal) ". "}ol.lst-kix_h3ourm8x7h1r-1{list-style-type:none}ul.lst-kix_u8f2lmijmzv2-5{list-style-type:none}ol.lst-kix_h3ourm8x7h1r-2{list-style-type:none}ol.lst-kix_h3ourm8x7h1r-4.start{counter-reset:lst-ctn-kix_h3ourm8x7h1r-4 0}ul.lst-kix_u8f2lmijmzv2-6{list-style-type:none}ol.lst-kix_h3ourm8x7h1r-3{list-style-type:none}ul.lst-kix_u8f2lmijmzv2-3{list-style-type:none}ol.lst-kix_h3ourm8x7h1r-4{list-style-type:none}ul.lst-kix_u8f2lmijmzv2-4{list-style-type:none}.lst-kix_6cal79v636hm-5 > li:before{content:"" counter(lst-ctn-kix_6cal79v636hm-5,lower-roman) ". "}ol.lst-kix_h3ourm8x7h1r-5{list-style-type:none}ul.lst-kix_u8f2lmijmzv2-1{list-style-type:none}ol.lst-kix_h3ourm8x7h1r-6{list-style-type:none}ul.lst-kix_u8f2lmijmzv2-2{list-style-type:none}ol.lst-kix_h3ourm8x7h1r-7{list-style-type:none}ol.lst-kix_h3ourm8x7h1r-8{list-style-type:none}ul.lst-kix_u8f2lmijmzv2-0{list-style-type:none}.lst-kix_6cal79v636hm-4 > li:before{content:"" counter(lst-ctn-kix_6cal79v636hm-4,lower-latin) ". "}ol.lst-kix_6cal79v636hm-3.start{counter-reset:lst-ctn-kix_6cal79v636hm-3 0}.lst-kix_x5jahadnea0u-1 > li{counter-increment:lst-ctn-kix_x5jahadnea0u-1}.lst-kix_h3ourm8x7h1r-1 > li{counter-increment:lst-ctn-kix_h3ourm8x7h1r-1}.lst-kix_u8f2lmijmzv2-4 > li:before{content:"- "}.lst-kix_u8f2lmijmzv2-3 > li:before{content:"- "}.lst-kix_u8f2lmijmzv2-0 > li:before{content:"- "}.lst-kix_u8f2lmijmzv2-2 > li:before{content:"- "}.lst-kix_h3ourm8x7h1r-7 > li{counter-increment:lst-ctn-kix_h3ourm8x7h1r-7}ol.lst-kix_x5jahadnea0u-1.start{counter-reset:lst-ctn-kix_x5jahadnea0u-1 0}.lst-kix_h3ourm8x7h1r-4 > li{counter-increment:lst-ctn-kix_h3ourm8x7h1r-4}.lst-kix_u8f2lmijmzv2-1 > li:before{content:"- "}.lst-kix_6cal79v636hm-0 > li:before{content:"" counter(lst-ctn-kix_6cal79v636hm-0,decimal) ". "}.lst-kix_h3ourm8x7h1r-5 > li{counter-increment:lst-ctn-kix_h3ourm8x7h1r-5}ol.lst-kix_h3ourm8x7h1r-7.start{counter-reset:lst-ctn-kix_h3ourm8x7h1r-7 0}ol.lst-kix_x5jahadnea0u-3.start{counter-reset:lst-ctn-kix_x5jahadnea0u-3 0}ol.lst-kix_6cal79v636hm-2{list-style-type:none}ol.lst-kix_6cal79v636hm-1{list-style-type:none}ol.lst-kix_x5jahadnea0u-0.start{counter-reset:lst-ctn-kix_x5jahadnea0u-0 0}ol.lst-kix_6cal79v636hm-4{list-style-type:none}ol.lst-kix_6cal79v636hm-3{list-style-type:none}.lst-kix_6cal79v636hm-7 > li{counter-increment:lst-ctn-kix_6cal79v636hm-7}ol.lst-kix_6cal79v636hm-0{list-style-type:none}.lst-kix_x5jahadnea0u-0 > li{counter-increment:lst-ctn-kix_x5jahadnea0u-0}.lst-kix_h3ourm8x7h1r-6 > li{counter-increment:lst-ctn-kix_h3ourm8x7h1r-6}.lst-kix_6cal79v636hm-5 > li{counter-increment:lst-ctn-kix_6cal79v636hm-5}.lst-kix_h3ourm8x7h1r-3 > li{counter-increment:lst-ctn-kix_h3ourm8x7h1r-3}ol.lst-kix_6cal79v636hm-2.start{counter-reset:lst-ctn-kix_6cal79v636hm-2 0}ol.lst-kix_x5jahadnea0u-6.start{counter-reset:lst-ctn-kix_x5jahadnea0u-6 0}ol.lst-kix_6cal79v636hm-8.start{counter-reset:lst-ctn-kix_6cal79v636hm-8 0}.lst-kix_pcoq31rye6it-2 > li:before{content:"- "}ol.lst-kix_6cal79v636hm-5.start{counter-reset:lst-ctn-kix_6cal79v636hm-5 0}.lst-kix_x5jahadnea0u-2 > li{counter-increment:lst-ctn-kix_x5jahadnea0u-2}.lst-kix_pcoq31rye6it-1 > li:before{content:"- "}.lst-kix_pcoq31rye6it-0 > li:before{content:"- "}.lst-kix_pcoq31rye6it-5 > li:before{content:"- "}.lst-kix_pcoq31rye6it-7 > li:before{content:"- "}.lst-kix_x5jahadnea0u-3 > li{counter-increment:lst-ctn-kix_x5jahadnea0u-3}.lst-kix_6cal79v636hm-3 > li{counter-increment:lst-ctn-kix_6cal79v636hm-3}ol.lst-kix_6cal79v636hm-1.start{counter-reset:lst-ctn-kix_6cal79v636hm-1 0}.lst-kix_pcoq31rye6it-6 > li:before{content:"- "}.lst-kix_pcoq31rye6it-3 > li:before{content:"- "}.lst-kix_h3ourm8x7h1r-8 > li{counter-increment:lst-ctn-kix_h3ourm8x7h1r-8}.lst-kix_pcoq31rye6it-4 > li:before{content:"- "}ol.lst-kix_h3ourm8x7h1r-2.start{counter-reset:lst-ctn-kix_h3ourm8x7h1r-2 0}.lst-kix_h3ourm8x7h1r-7 > li:before{content:"" counter(lst-ctn-kix_h3ourm8x7h1r-7,lower-latin) ". "}.lst-kix_h3ourm8x7h1r-8 > li:before{content:"" counter(lst-ctn-kix_h3ourm8x7h1r-8,lower-roman) ". "}.lst-kix_h3ourm8x7h1r-2 > li{counter-increment:lst-ctn-kix_h3ourm8x7h1r-2}ol.lst-kix_x5jahadnea0u-5.start{counter-reset:lst-ctn-kix_x5jahadnea0u-5 0}.lst-kix_pcoq31rye6it-8 > li:before{content:"- "}ol.lst-kix_6cal79v636hm-0.start{counter-reset:lst-ctn-kix_6cal79v636hm-0 0}ol.lst-kix_x5jahadnea0u-4.start{counter-reset:lst-ctn-kix_x5jahadnea0u-4 0}ol.lst-kix_h3ourm8x7h1r-8.start{counter-reset:lst-ctn-kix_h3ourm8x7h1r-8 0}ol.lst-kix_6cal79v636hm-6{list-style-type:none}ol.lst-kix_6cal79v636hm-5{list-style-type:none}ol.lst-kix_6cal79v636hm-7.start{counter-reset:lst-ctn-kix_6cal79v636hm-7 0}ol.lst-kix_6cal79v636hm-8{list-style-type:none}ol.lst-kix_6cal79v636hm-7{list-style-type:none}ul.lst-kix_pcoq31rye6it-0{list-style-type:none}ul.lst-kix_pcoq31rye6it-1{list-style-type:none}ul.lst-kix_pcoq31rye6it-2{list-style-type:none}ul.lst-kix_pcoq31rye6it-7{list-style-type:none}ul.lst-kix_pcoq31rye6it-8{list-style-type:none}ul.lst-kix_pcoq31rye6it-3{list-style-type:none}ul.lst-kix_pcoq31rye6it-4{list-style-type:none}.lst-kix_6cal79v636hm-6 > li{counter-increment:lst-ctn-kix_6cal79v636hm-6}ul.lst-kix_pcoq31rye6it-5{list-style-type:none}ol.lst-kix_h3ourm8x7h1r-1.start{counter-reset:lst-ctn-kix_h3ourm8x7h1r-1 0}ul.lst-kix_pcoq31rye6it-6{list-style-type:none}

Don't forget about the age old question of What are the wrist and hand bones?

Chapter 4: Probability

Probability

  • Likelihood
  • Chances
  • Odds

Don't forget about the age old question of cj202

Properties

  1. Probabilities are always between 0 and 1
  2. Events
  • way of dividing a data set
  • Subset of the entire data set

EX. Flipping a coin We also discuss several other topics like the nonprofit, nonpartisan character counts organization has worked with various group of educators and community leaders to establish a set of:

Event A Heads

Event B Tails

Ex Rolling a die If you want to learn more check out myeconlab chapter 7 answers
If you want to learn more check out earth and marine b206

Event A odd #

Event B even #

Event C. 6 If you want to learn more check out pers 201 textbook notes

Event D 1-3

Event : 4-6

Event c is considered a subset of events B&E.

  1. The sum of all probabilities needs to add las up to one. sou

EX. Die example

6 possible outcomes (1, 2, 3,4,5,6)

⅙  chance for each outcome

P(1) Probability of rolling a 1

 P(1) + P(2) + P(3) + P(4) + P(5) + P(6) = 6

        ⅙         ⅙         ⅙         ⅙         ⅙         ⅙         

*Combinations: How many ways can 1 Choose n out of N items? (or x out of n)

        ↓

*Without replacement 

        or        ← less confusing

ex. How many ways can 1 choose 3  out of 10 applicants

        

        = 1

        

                

        120 ways

If the calculator does not have a factorial button or if n is really large.

                        1. cancel or simplify

                = 120 ways

Ex 2.        n=120, 1 want to choose 5

                

Ways to assign probabilities

  1. Classical method Equally likely outcomes

Ex: Flipping a coin, rolling a die

  1. Relative Frequency Method **
  2. subjective Method  DO NOT USE IN CLASS!

Ex: Scholarships : The probability that someone receives an athletic scholarship is 18%. The odds that they receive this scholarship and a scholarship based on merit (grades) Is 11%. The chances they receive an athletic scholarship or a merit scholarship IS 30%.

A = Athletic M= Merit Both OR

Probability concepts: 

  1. Complements

                  Complement of event A is

 " NOT"        written as  or A!.

  “Don't”         

Ex. What is the probability that you don't receive an athletic scholarship? 

        

                        

These colors have different meanings!

Union :

A, B, or Both                                                 .        .70

Ex: A,M, Both

Intersection:                         

Both A&B

Ex. Both A&M 

Equation:

Q: What is the probability of receiving a merit scholarship?

                        

                         

                                 

                        

                        P(M)=.23

  1. Union

            Union:P(AuB)

“Not”

“don’t”

EX1: I can receive the athletic Scholarship, Merit scholarship or both

union P(AUM) P(AUM) = ,30

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