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# Venn Diagram and Probability problems

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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 (see attachment).

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

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?

https://brainmass.com/physics/statistical-mechanics/venn-diagram-probability-problems-71679

#### Solution Preview

Please see the attachment for the solution.

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

Table 1: Total number of students taking a module
Module Number of students
Algebra 329
Physics 189
Statistics 295

Table 2: Number of students taking a combination of two modules
Modules combination Number ...

#### Solution Summary

This solution includes a drawing of a venn diagram and answers probability problems.

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