A fax transmission can take place at any of three speeds depending on the condition of the phone connection between the two fax machines. The speeds are high (h) at 14, 400 b/s, medium (m) at 9600 b/s, and low (l) at 4800 b/s. In response to requests for information, a company sends either short faxes of two (t) pages, or long faxes of four (f) pages. Consider the experiment of monitoring a fax transmission and observing the transmission speed and length. An observation is a two-letter word, for example, a high-speed, two-page fax is ht.
(a) What is the sample space of the experiment?
(b) Let A1 be the event "medium-speed fax." What are the outcomes in A1?
(c) Let A2 be the event "short (two-page) fax." What are the outcomes in A2?
(d) Let A3 be the event "high-speed fax or low-speed fax." What are the outcomes in A3?
(e) Are A1, A2, and A3 mutually exclusive?
(f) Are A1, A2, and A3 collectively exhaustive?