3.1 Terminology

The following activities and questions relate to material covered in Chapter 3.1 Terminology in Introductory Business Statistics (OpenStax).

Data sets for the following questions are available in Excel: 3.1 Data Sets [XLSX].

Questions

  1. In 2020, the following survey information was provided by 177 students at Yukon University asking them to define which school services are most needed or most important to that student.
    Important Services in Yukon University Survey Result [1]
    Most Important Services Frequency
    Academic support 30
    Study space 22
    Communication with Instructors 22
    Learning Commons 21
    Mental health supports/counselling 11
    Student-to-student connection 10
    Other

    Let:

    • AS = the event of randomly selecting a student that responded, “Academic support”.
    • SS = the event of randomly selecting a student that responded, “Study space”.
    • CI = the event of randomly selecting a student that responded, “Communication with Instructors”.
    • LC = the event of randomly selecting a student that responded, “Learning Commons”.
    • MH = the event of randomly selecting a student that responded, “Mental health supports/counselling”.
    • SC = the event of randomly selecting a student that responded “Student-to-student connection”.
    • O = the event of randomly selecting a student that responded with various other answers.

    Find:

    1. P(AS)
    2. P(SS)
    3. P(CI)
    4. P(LC)
    5. P(MH)
    6. P(SC)
    7. P(O)
  2. The 39th Yukon General Election was held on April 21, 2021. Data was retrieved from Yukon Elections:
    2021 Yukon General Election Results [2]
    Electoral District Number of Votes
    Copperbelt North 1381
    Copperbelt South 1274
    Klondike 1114
    Kluane 782
    Lake Laberge 1277
    Mayo Tatchun 632
    Mount Lorne – Southern Lakes 1144
    Mountainview 1052
    Pelly Nisutlin 713
    Porter Creek Centre 1681
    Porter Creek North 1143
    Porter Creek South 655
    Riverdale North 1124
    Riverdale South 1056
    Takhini Kopper King 1205
    Vuntut Gwitchin 156
    Watson Lake 550
    Whitehorse Centre 1059
    Whitehorse West 1003

    Find the probabilities a randomly selected voter (someone who voted in the election) had voted in each of the electoral districts below:

    1. P(Whitehorse Centre)
    2. P(Riverdale North)
    3. P(Porter Creek Centre)
    4. P(Mountainview)
    5. P(Takhini Kopper King)
    6. P(Copperbelt North)
Kathleen Lake

Solutions

    1. P(AS) = [latex]\dfrac{30}{177}[/latex] = 0.1695 = 16.95%
    2. P(SS) = [latex]\dfrac{22}{177}[/latex] = 0.1243 = 12.43%
    3. P(CI) = [latex]\dfrac{22}{177}[/latex] = 0.1243 = 12.43%
    4. P(LC) = [latex]\dfrac{21}{177}[/latex] = 0.1186 = 11.86%
    5. P(MH) = [latex]\dfrac{11}{177}[/latex] = 0.0621 = 6.21%
    6. P(SC) = [latex]\dfrac{10}{177}[/latex] = 0.0565 = 5.65%
    7. P(VA) = [latex]\dfrac{(177-30-22-22-21-11-10)}{177}=\dfrac{61}{177}[/latex] = 0.3446 = 34.46%
    1. P(Whitehorse Centre) = [latex]\dfrac{1059}{19001}[/latex] = 5.57%
    2. P(Riverdale North) = [latex]\dfrac{1124}{19001}[/latex] = 5.92%
    3. P(Porter Creek Centre) = [latex]\dfrac{1681}{19001}[/latex] = 8.85%
    4. P(Mountainview) = [latex]\dfrac{1052}{19001}[/latex] = 5.54%
    5. P(Takhini Kopper King) = [latex]\dfrac{1205}{19001}[/latex] = 6.34%
    6. P(Copperbelt North) = [latex]\dfrac{1381}{19001}[/latex] = 7.27%

Media Attributions

  1. Data source: Macdonald, D. (2020). Student survey 2020: Results. Yukon University Institutional Research and Planning. https://www.yukonu.ca/sites/default/files/inline-files/StudentSurveyResults2020_Report_0.pdf ↵
  2. Data source: Election Yukon. (2021). Unofficial election results 2021. https://electionsyukon.ca/en/content/unofficial-election-results-2021 ↵

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Introduction to Business Statistics Problem Ancillary Materials: Yukon Edition Copyright © by Lisa Kanary is licensed under a Creative Commons Attribution 4.0 International License, except where otherwise noted.

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