SUBMATH: PROBABILITY AND STATISTICS ASSIGNMENT

  1. In a group of 40 people, 10 are healthy and every person the of the remaining 30 has either high blood pressure, a high level of cholesterol or both. If 15 have high blood pressure and 25 have high level of cholesterol,
    a) how many people have high blood pressure and a high level of cholesterol?
    If a person is selected randomly from this group, what is the probability that he/she
    b) has high blood pressure (event A)?
    c) has high level of cholesterol(event B)?
    d) has high blood pressure and high level of cholesterol (event A and B)?
    e) has either high blood pressure or high level of cholesterol (event A or B)?
    f) Use the above to check the probability formula: P(A or B) = P(A) + P(B) – P(A and B).
  2. A committee of 5 people is to be formed randomly from a group of 10 women and 6 men. Find the probability that the committee has
    a) 3 women and 2 men.
    a) 4 women and 1 men.
    b) 5 women.
    c) at least 3 women.
  3. In a school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that
    a) exactly 5 have access to the internet.
    b) at least 6 students have access to the internet.
  4. The grades of a group of 1000 students in an exam are normally distributed with a mean of 70 and a standard deviation of 10. A student from this group is selected randomly.
    a) Find the probability that his/her grade is greater than 80.
    b) Find the probability that his/her grade is less than 50.
    c) Find the probability that his/her grade is between 50 and 80.
    d) Approximately, how many students have grades greater than 80?
  5. In a certain country last year a total of 500 million tons of trash was recycled. The chart below shows the distribution, in millions of tons, for the different types of trashes.

    a) How many tons of Iron/Steel was recycled?
    b) What percent of the recycled trash was glass?
Mugisa Geofrey and Ashaba Fredrick

Mugisa Geofrey Zziwa is a learning facilitator with Ultimate MultiMedia Consult. With knowledge of the following topics:  Digital Pedagogy training or digital teaching skills, how to integrate ICT in teaching.  Journalism and the Internet/Computers (How internet helps journalism)  Basic web design & CMS and Multimedia Content publishing  Digital security and safety basics for journalists  Best practices for ensuring safety online  Data Mashups  Collaborative digital content development tools  Live streaming and Live reporting  Immersive Storytelling tools and practices  Among others I have conducted a number of trainings which include: • Multimedia Journalism and Digital Safety training for university Students held in Makerere University, Kampala International University and Cavendish University and sponsored by the American Embassy Uganda. • Digital Pedagogy training for Science Technology Engineering and Mathematics (STEM) Teachers held in Iganga Girls SSS in Iganga District for Eastern region Uganda, St. Maria Gorretti in MPigi District for Central region Uganda, and Teso College ALOET for the Karamoja region Uganda. Sponsored by Forum for African Women Educationalists Uganda (FAWEU) Training Teachers on integration of ICT in teaching and delivering lessons to students. • Digital Pedagogy at American Center for Teachers by Teachers In Need (TIN) Uganda. • Facilitator on Digital Pedagogy with ICT Teachers Association Uganda (ITAU) at American Center, Kyebambe Girls SSS in FortPortal for western region Uganda, Dr. Obote College Boro Boro Lira for Nothern Region Uganda.

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Mugisa Geofrey and Ashaba Fredrick
4 years ago

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