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statistics study guide for discrete probability distributions

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  • AP StatStudy SAnswer

    __________Copyright TI-83 scree

    These exseen howrandom v

    In this acprobabliThroughproduce

    1. A, B, andhave an in the lemonth, obeing wibut not tC and D number integer vparticuladata is h

    2. A. Since

    otherB.

    tistics Sheet: Disrs

    _________ 2011 Apex Lens are used wi

    xercises focuw to computvariable and

    ctivity you glity simulatiout this exe probability

    d E are exa infinite numength of lifeor 10 years,ithin an intethe probabil

    are examplof overdue avalues. A disar outcome. hypothetical

    e the total dr outcomes

    screte Pr

    earning Inc. (Sith the permiss

    us on discrete the probad how to cre

    get to use yions. You'll sercise, we'll distribution

    mples of comber of posse of one pat 1 month, aerval of outity of one sp

    es of discretaccounts hascrete rando For exampl.)

    istribution mis 0.869, P(

    robability

    See Terms of Usion of the pub

    te probabilitabilities assoeate probab

    our graphinsimulate progive you dirs, and creat

    ntinuous rasible valuestient could band 3 days, comes (whipecific outco

    te random vave a countaom variable e, there's a

    must equal 2) = .131.

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    ty distributiociated withility histogra

    ng calculatoobability querections on hte probabilit

    ndom varias within an ibe measureand so on. Yich is often ome.

    variables. Boable number has a know 5% probab

    1, and the s

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    ons and ran the outcomams to disp

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    oth the numr of outcome

    wn probabilitbility that 75

    sum of the p

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    mber of deeres and a ranty of attainin5 deer were

    probabilities

    Page 1

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    bles. You've crete stributions.

    kinds of d candy samrious simula

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  • AP StatStudy SAnswer

    __________Copyright TI-83 scree

    3. A. The p

    proba

    FIRS

    Be

    Se

    Re

    X (

    B.

    tistics Sheet: Disrs

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    possible outabilities is to

    ST POSITIO

    llevue (.40)

    attle (.30)

    nton (.30)

    (# of Bellev

    screte Pr

    earning Inc. (Sith the permiss

    comes are 0o construct

    ON S

    ue residents

    robability

    See Terms of Usion of the pub

    0, 1, or 2. Ta tree diagr

    SECOND PO

    Bellevue

    Seattle

    Renton

    Bellevue

    Seattle (

    Renton

    Bellevu

    Seattle (

    Renton

    s hired) P(x)

    y Distribu

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    he easiest wram:

    OSITION

    e (.333)

    (.333)

    (.333)

    e (.444)

    (.222)

    (.333)

    e (.444)

    (.333)

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    utions

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    way to comp

    OUTC

    Bellevue

    Bellevue

    Bellevue

    Seattle/

    Seattle/

    Seattle/

    Renton/

    Renton/

    Renton/

    1 2 .533 .1

    msOfUse) Texas Instrume

    pute compou

    COME

    e/Bellevue (

    e/Seattle (.1

    e/Renton (.1

    Bellevue (.1

    Seattle (.06

    Renton (.10

    Bellevue (.1

    Seattle (.10

    Renton (.06

    33

    Page 2

    ents, Incorpora

    und

    .133)

    133)

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    133)

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    of 5

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  • AP StatStudy SAnswer

    __________Copyright TI-83 scree

    4. A. Our s

    differ

    B. Our

    A pr

    tistics Sheet: Disrs

    _________ 2011 Apex Lens are used wi

    simulation orent.):

    simulation

    robability his

    screte Pr

    earning Inc. (Sith the permiss

    of 200 rolls p

    Outcome

    2 3 4 5 6 7 8 9

    10 11 12

    produced th

    Lower

    123456789

    1

    stogram for

    robability

    See Terms of Usion of the pub

    produced th

    TheoreProbab

    1/36 = 2/36 = 3/36 = 4/36 = 5/36 = 6/36 = 5/36 = 4/36 = 3/36 = 2/36 = 1/36 =

    he following

    r Value

    1 2 3 4 5 6 7 8 9

    10

    this data lo

    y Distribu

    Use at www.apeblisher. Copyrig

    e following

    etical bility

    E

    .028 13

    .056 12

    .083 14

    .111 22

    .139 3

    .167 36

    .139 23

    .111 17

    .083 17

    .056 9

    .028

    results (you

    Frequency(out of 300

    50 . 56 . 50 . 42 . 32 . 30 . 19 . 15 . 6 . 0 .

    ooks like this

    utions

    exvs.com/Termght 1996, T

    results (you

    ExperimentaResults

    3/200 = .0652/200 = .06 4/200 = .07 2/200 = .11 1/200 = .1556/200 = .18 3/200 = .1157/200 = .0857/200 = .0859/200 = .0456/200 = .03

    ur results w

    y 0) P(x)

    .167

    .087

    .167

    .14

    .08

    .075

    .0475

    .05

    .015

    .00

    s:

    msOfUse) Texas Instrume

    ur results wi

    al

    5

    5 5 5 5 5

    3

    will be differe

    Page 3

    ents, Incorpora

    ill be

    ent.):

    of 5

    ated.

  • AP Statistics Page 4 of 5 Study Sheet: Discrete Probability Distributions Answers

    __________________ Copyright 2011 Apex Learning Inc. (See Terms of Use at www.apexvs.com/TermsOfUse) TI-83 screens are used with the permission of the publisher. Copyright 1996, Texas Instruments, Incorporated.

    # red candies (#1s, 2s, 3s, 4s)

    Tally Frequency (Tally/50)

    3 . 6 . 5 . 4 . 8 . 10 . 4 . 5 . 3 . 2 .

    50

    5. Use a tree diagram to find the proper compound probabilities. There are three

    possible outcomes: 0 (no yellow candies), 1 (a yellow and a candy of some other color), and 2 (two yellow candies). FIRST CANDY SECOND CANDY OUTCOME (bag has 30 candies) (bag has 29 candies)

    Yellow (7/29 = .241) 2 yellow = .064

    Yellow (8/30 = .267)

    Not Yellow (22/30 = .733)

    Not Yellow (22/29 = .759) 1 yellow = .203 Yellow (8/29 = .276) 1 yellow = .202 Not Yellow (21/29 = .724) 0 yellow = .531

    X, # yellow 0 1 2 P(x) .531 .405 .064

    6. A. Our simulation with 50 trials produced the following results:

    1.00

  • AP StaStudy Answe

    _________Copyright TI-83 scre

    The

    atistics Sheet: D

    ers

    __________ 2011 Apex

    eens are used w

    e histogram

    iscrete P

    Learning Inc. (with the permi

    for this sim

    Probabilit

    (See Terms of ssion of the pu

    mulation look

    y Distrib

    Use at www.aublisher. Copy

    ks like this:

    utions

    pexvs.com/Teright 1996,

    rmsOfUse) Texas Instrum

    Page

    ments, Incorpo

    5 of 5

    orated.