Question

An academic conference held this past January consistent of 250 participants including undergraduate students, masters students, PhD students, and, professors from business faculties, engineering faculties, and nursing faculties to discuss various ways of increasing the learning desires of students.  The following table gives us the breakdown of participants by levels of education and faculties.

                                                                Business               Engineering               Nursing                    Totals

Undergraduate students                     30                               15                               35                               80

Masters students                                    40                               38                               12                               90

PhD students                                             10                               12                                 8                               30

Professors                                                  20                               15                               15                               50

Totals                                                        100                               80                               70                           250

If one of these participants is randomly selected, complete the following statements by filling in the spaces provided.  Leave your answers as fractions (e.g., 30/250).

1. The probability that this participant is from engineering is ______

2. The probability that this participant is a professor is ______

3. The probability that this participant is a business professor is ______

4. The probability that this participant is either an undergraduate or a master’s student is ______

5. The probability that this participant is either from nursing or a PhD student is ______

6. The probability that this participant is an undergraduate student knowing that he/she is a business

student is ______

7. The probability that this participant is from nursing knowing that he/she is a master’s student is ______

Answer 1