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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?

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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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See Also This Related BrainMass Solution

Using a Venn Diagram to Solve a Probability Problem

Dr. Hawk works in an allergy clinic, and his patients have the following allergies: 68 are allergic to diary products, 93 are allergic to pollen, 91 are allergic to animal fur, 31 are allergic to all three, 29 are allergic only to pollen, 12 are allergic only to dairy products, 40 are allergic to to dairy products and pollen.

a) What percent of Dr. Hawks's patients are allergic to animal fur?
b) What percent of Dr. Hawk's patients are only allergic to allergic to animal fur?

Also how would I set up the Venn Diagram showing the correct numbers outlined in the problem.

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