Question

	Students	Faculty	Staff
Traditional	1498	21	186
On-line	801	145	63
Hybrid	557	37	42

What is the probability that a randomly selected person prefers traditional class?

What is the probability that a randomly selected person prefers a hybrid classes given that they are a faculty member?

What is the probability that a randomly selected person is a staff member given that they prefer traditional classes?

Remember to round all answers to the second decimal place. Please answer all questions

Answer 1

Solution:

	students	faculty	staff	total
traditional	1498	21	186	1705
On-line	801	145	63	1009
Hybrid	557	37	42	636
Total	2856	203	291	3350

a) probability of a randomly selected person prefers traditional class = total number of people in traditional class/ total number of people

= 1705 / 3350

P(T) = 0.50

b) probability of a randomly selected prefers hybrid class given that they are a faculty member

P(H | F) = P( H and F) / P(F)

= (37 / 3350) / 0.060

= 0.18

c) probability of a randomly selected is staff member given that they prefer traditinal classes

P(S | T) = P(S and T) / P(T)

= (186 / 3350) / 0.50

= 0.11