Sampling the Faculty A small community college employs 87 full-time faculty members. To gain the faculty's opinions about an upcoming building project, the college president wishes to obtain a simple random sample that will consist of 9 faculty members. He numbers the faculty from 1 to 87.
(a) Using Table I from Appendix $A$, the president closes his eyes and drops his ink pen on the table. It points to the digit in row $5,$ column $22 .$ Using this position as the starting point and proceeding downward, determine the numbers for the 9 faculty members who will be included in the sample.
(b) If the president uses technology, determine the numbers for the 9 faculty members who will be included in the sample.