Consider the Venn diagram below. Each of the dots outside the circle represents a graduating college student surveyed about their post-college job search.

 Consider the Venn diagram below. Each of the dots outside the circle represents a graduating college student surveyed about their post-college job search.  

Five of the graduates are business majors: represented by red dots and labeled: 1,2,3,4,5 (abbreviated BM);
Four of the graduates are social work majors: and are represented by blue dots: 1,2,3,4 (abbreviated SW).
The two events represented in the Venn diagram are:

Event A: The student has applied to at least one post-college job.
Event B: The student currently is working in an internship position.
Three of the business majors BM1,BM2,BM4 and two of the social work majors SW2,SW3 say they have applied to at least one job. Business majors BM2,BM3 state that they are currently working in an internship position. Social work majors SW2,SW4 say they are also currently working in an internship position. Students BM5,SW1 say that neither of the options currently apply to them.

Place the dots in the appropriate event given the information above (you may not use all of the dots), then determine if the events are mutually exclusive.

 

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