Assignment:
Question 1. A survey of 500 students taking one of more modules in algebra, physics and statistics during one semester revealed the following numbers of students in the indicated modules
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Table 1: Total number of students taking a module
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Module
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Number of students
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Algebra
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329
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Physics
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189
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Statistics
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295
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Table 2: Number of students taking a combination of two modules
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Modules combination
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Number of students
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Algebra and Physics
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83
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Algebra and Statistics
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217
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Physics and Statistics
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63
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Draw a venn diagram and show how many students were taking:
i) All three modules
ii) Algebra or statistics but not physics
iii) Algebra but not physics or statistics
Question 2. In a service company, 50% of the workforce is female and 30% are part time employees. 70% of the part time employees are female.
i) If you select an employee at random, what is the probability that it is a male?
ii) If you select a male employee at random, what is the probability that he is part time?
iii) If you select a full time employee at random, what is the probability that it is a male?