Question

Question Four

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

1. The probability that this participant is from business is __ 100/250_____

2. The probability that this participant is a PhD student is __30/250____

3. The probability that this participant is a nursing professor is __15/50_____

4. The probability that this participant is either an undergraduate or a master’s student is _170/250_______

5. The probability that this participant is either from business or a PhD student is ________

6. The probability that this participant is a Professor knowing that he/she is in nursing is ________

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

_____

Answer 1

	Business	Engineering	Nursing	totals
undergradate students	30	15	35	80
masters students	40	38	12	90
PhD students	10	12	8	30
Professors	20	15	15	50
Total	100	80	70	250

The probability that this participant is from business is = 100/250 = 0.4

The probability that this participant is a PhD student is = 30/250 = 0.12

The probability that this participant is a nursing professor is = 70/250 = 0.28

The probability that this participant is either an undergraduate or a master’s student is = ( 80 + 90 )/250 = 170/250 = 0.68

The probability that this participant is either from business or a PhD student is = ( 100 + 30 - 10 )/250 = 120/250 = 0.48

The probability that this participant is a Professor knowing that he/she is in nursing is = probability that this participant is a Professor knowing and he/she is in nursing / probability that this participant is in nursing

probability that this participant is a Professor knowing and he/she is in nursing = 15/250

probability that this participant is in nursing = 70/250

The probability that this participant is a Professor knowing that he/she is in nursing is = (15/250)/(70/250) = 15/70 = 0.2143

The probability that this participant is from business knowing that he/she is a master’s student is = probability that this participant is from business knowing and he/she is a master’s student is / probability that this participant is a master’s student is

probability that this participant is from business knowing and he/she is a master’s student is = 40/250

probability that this participant is a master’s student is = 90/250

The probability that this participant is from business knowing that he/she is a master’s student is = 40/90

The probability that this participant is from business knowing that he/she is a master’s student is = 0.4444