a) The table below is a frequency distribution which summarises the degree programmes of a sample of students from the Faculty of Science & Technology. Degree Programme Frequency (Number of Students) Biology 95 Biochemistry 75 Computer Science 55 Mathematics 60 Physics 50 (i) Duplicate the table, creating columns to calculate the relative and cumulative frequencies. (ii) Given that pursuing a Computer Science degree is independent of pursuing a Biochemistry, find the probability that a randomly chosen student from the sample is pursuing a both a Computer Science degree and Biochemistry degree. Give your answer to 2 decimal places.
(a) The table below is a frequency distribution which summarises the degree programmes of a sample of students from the Faculty of Science & Technology.
|
Degree Programme |
Frequency (Number of Students) |
|
Biology |
95 |
|
Biochemistry |
75 |
|
Computer Science |
55 |
|
Mathematics |
60 |
|
Physics |
50 |
(i) Duplicate the table, creating columns to calculate the relative and cumulative frequencies.
(ii) Given that pursuing a Computer Science degree is independent of pursuing a Biochemistry, find the probability that a randomly chosen student from the sample is pursuing a both a Computer Science degree and Biochemistry degree. Give your answer to 2 decimal places.
(b) A survey on preferences for music vs. reading as hobbies was done with 50 persons. The results were:
14 persons enjoyed both music and reading as hobbies
8 persons who only enjoyed reading as a hobby
8 persons did not prefer either hobby
(i) Represent this information using a Venn Diagram.
(ii) Find the probability that a randomly chosen person preferred reading as a hobby.
(iii) Find the probability that a randomly chosen person prefers either music or reading as a hobby.
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