Determine the sample space S for the following experiments.
(a) Pick two random points on a 4 × 6 rectangle. Observe the distance between them.
(b) Manufacture light bulbs until exactly 20 functioning light bulbs have been produced. Observe the number of non-functioning light bulbs manufactured.
(c) Manufacture light bulbs until exactly 20 functioning light bulbs have been produced. Observe the total number of light bulbs manufactured.