Question: A survey of students in an introductory Statistics class asked about their birth order (1 = oldest or only child) and which college of the university they were enrolled in. The table below lists the data.

Birth Order

1st or an Only 2nd or More Totals

Arts & Sciences 34 23 57

Agriculture 52 41 93

Management 15 28 43

Other 12 18 30

113 110 223

If we were to randomly select one student from this university:

a) Find the probability that the selected student is the oldest or an only.

b) Find the probability that the selected student is enrolled in the College of Arts & Science.

c) Given that the selected student is the “1st or an only”, what is the probability that he/she enrolled in the College of Management?

d) Given that the student is enrolled in the College of Agriculture, what is the probability that he/she is “2^nd or More in Birth Order”?

e) Find the probability that the selected student is “1st or an only” and enrolled in the College of Management.

f) Find the probability that the selected student is “2^nd or more” or is enrolled in the College of Agriculture?

g) Are the events the selected student is “1^st or an only” and the selected student is enrolled in the College of Arts & Sciences independent events? Explain.