statistic 4 short answers
1. A student has to take 9 more courses before he can graduate. If none of the courses are prerequisite to others, how many groups of four courses can he select for the next semester? (Show your work) *5 points*
2. From among 8 students how many committees consisting of 3 students can be selected? (Show your work) *5 points*
3. From a group of seven finalists to a contest, three individuals are to be selected for the first and second and third places. Determine the number of possible selections.
(Show your work) *5 points*
4. A financial manager made two new investments – one in the oil industry and one in municipal bonds. After a one year period, each of the investments will be classified as either successful or unsuccessful. Consider the making of the two investments as an experiment. (Show your work and label A-B-C-D-E) *10 points *
a. How many sample points exist for this experiment?
b. Show a tree diagram and list the sample points.
c. List the sample points in the union of the events (O U M)
d. List the sample points in the intersection of the events (O INTERSECT M)
e. Are events O and M mutually exclusive? Explain.