Question

No MLC help] A national survey found that 61% of college students attend four year institutions while the rest attend two-year institutions. Males make up 44% ofthe students in the four-year institutions and 41% ofthe students in the two-year institutions. Let M represent the event the student is male and T represent 5 the event the student attends a two-year institution a 3 pts] No MILC helpl Create a tree diagram OR a hypothetical table to represent this situation. b. [No MLC help] Find the probability that a random selected two-year student is female. c. [No MLC helpl What is the proper probability notation for the event described in c.? Select one. A PMO) B. PCT M) D. PMC and T)

Answer 1

a) A tree diagram is give below

PROBABILITY TREE 0.39 0.61 0.4 0.59 0.44 0.56 MC M MC

b) P(female | 2 year student) = P(M^c | T)

= 0.59

c) C. P(M^c | T) (event described in b)