During a 24-hour period, at some time X, a switch is put into "ON" position. Subsequently, at some future time Y (still during that same 24-hour period) the switch is put into the "OFF" position. Assume that X and Y are measured in hours on the time axis with the beginning of the time period as the origin. The outcome of the experi- ment consists of the pair of numbers (X, Y).

(a) Describe the sample space.

(b) Describe and sketch in the XY-plane the following events. (i) The circuit is on for one hour or less. (ii) The circuit is on at time z where z is some instant during the given 24-hour period. (iii) The circuit is turned on before time 1 and turned off after time 12 (where again 11 <12 are two time instants during the specified period). (iv) The circuit is on twice as long as it is off.