As technical coordinator of a proposed harbor-bottom exploration device, you must report on the field of vision of a television camera which will be dropped without control to rest on the irregular floor of the harbor. One factor in your analysis is the slope of the floor at the point (a 1-ft circle) where the camera container comes to rest. In the Boston Harbor, which is to be explored, no appropriate data is avialable, but you must decide on certain dimensions of the device based in part on a probability distribution of the extent of the field of vision, and therefore you must obtain some probability distribution on the floor slope.
(a) Choose some engineering friend and assume (for all his probable ignorance of the subject) that he is the most knowledgeable consultant available on this topic. Find through a sequence of simple hypothetical lotteries the three slope values which have probabilities of 0.25, 0.50, and 0.75 of being exceeded. Sketch a CDF through these points.
(b) Repeat this with a second friend. Have the two compare their CDF's. Can the differences be reconciled through discussion?