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
- 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:
- P(AS)
- P(SS)
- P(CI)
- P(LC)
- P(MH)
- P(SC)
- P(O)
- 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:
- P(Whitehorse Centre)
- P(Riverdale North)
- P(Porter Creek Centre)
- P(Mountainview)
- P(Takhini Kopper King)
- P(Copperbelt North)
Solutions
-
- P(AS) = [latex]\dfrac{30}{177}[/latex] = 0.1695 = 16.95%
- P(SS) = [latex]\dfrac{22}{177}[/latex] = 0.1243 = 12.43%
- P(CI) = [latex]\dfrac{22}{177}[/latex] = 0.1243 = 12.43%
- P(LC) = [latex]\dfrac{21}{177}[/latex] = 0.1186 = 11.86%
- P(MH) = [latex]\dfrac{11}{177}[/latex] = 0.0621 = 6.21%
- P(SC) = [latex]\dfrac{10}{177}[/latex] = 0.0565 = 5.65%
- P(VA) = [latex]\dfrac{(177-30-22-22-21-11-10)}{177}=\dfrac{61}{177}[/latex] = 0.3446 = 34.46%
-
- P(Whitehorse Centre) = [latex]\dfrac{1059}{19001}[/latex] = 5.57%
- P(Riverdale North) = [latex]\dfrac{1124}{19001}[/latex] = 5.92%
- P(Porter Creek Centre) = [latex]\dfrac{1681}{19001}[/latex] = 8.85%
- P(Mountainview) = [latex]\dfrac{1052}{19001}[/latex] = 5.54%
- P(Takhini Kopper King) = [latex]\dfrac{1205}{19001}[/latex] = 6.34%
- P(Copperbelt North) = [latex]\dfrac{1381}{19001}[/latex] = 7.27%
Media Attributions
- Kathleen Lake by Lisa Kanary is licensed under a CC BY 4.0 licence.
- 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 ↵
- Data source: Election Yukon. (2021). Unofficial election results 2021. https://electionsyukon.ca/en/content/unofficial-election-results-2021 ↵