For each of the following experiments, decide whether it would be appropriate to use a sample space which is finite, countably infinite, or continuous.

(a) A Geiger counter, located adjacent to a building containing a reactor, will record the total number of alpha particles during a one-hour period.

(b) Five of the members of a professional society with 12,600 members are chosen to serve on a nominating committee.

(c) An experiment is conducted to measure the thickness of a new synthetic silk thread in nanometers.

(d) A study is made to determine in how many of 450 airplane accidents the main cause is pilot error.

(e) Measurements are made to determine the uranium content of a certain ore.

(f) In a torture test, a watch is dropped a number of times from a tall building until it stops running.