Out of all the new students at SFA last fall semester, 26% of them were transfer students. Also, out of all the new Lumberjacks last semester, 16% came into the university declaring a major in the College of Liberal and Applied Arts. Combining these ideas, we had 5% of our new students declare a major in the College of Liberal and Applied Arts as well as come in as a transfer.
Let S represent all new students at SFA last fall.
Let A represent all new students who transferred in last fall
Let B represent all new SFA students last fall declaring a major in the College of Liberal and Applied Arts.
a) Are you able to find P(A U B)? If so, calculate it and specifically tell what rules or laws of probability are used to obtain it.
b) Are you able to find P(A n B)? If so, calculate it and specifically tell what rules or laws of probability are used to obtain it.
c) Show all of your work in order to calculate the chance of a new Lumberjack declaring a major in the College of Liberal and Applied Arts if we know that they are a transfer student?
d) If the probability "0.74" is the answer, then what was the question?
c) Are the events "new Lumberjack last Fall declares a major in the College of Liberal and Applied Arts" and
"new Lumberjack last Fall is a transfer student" independent? Specifically, why or why not?
1) Are the events "new Lumberjack last Fall declares a major in the College of Liberal and Applied Arts" and
"new Lumberjack last Fall is a transfer student" mutually exclusive? Specifically, why or why not?
g) Is P(4|B) = P(B|A) in this particular application? Explain why or why not.