A fax transmission can take place at any of the three speeds depending on the condition of the phone connection between the two fax machines; the speed is considered high (h) at 14.4 Kbits/s, medium (m) at 9.6 Kbits/s, or low (1) at 4.8 Kbits/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 speed and length. An observation is a two-letter word, for example, a high-speed two-paged fax is ht. -- State the sample space. -- Consider Aj be the event "medium speed fax". What are the outcomes in A,? -- Consider A, be the event "short two-paged fax". What are the outcomes in A2? -- Consider Az be the event "high speed fax or low speed fax". What are the outcomes in A3? -- Are A1, A2 and A3 mutually exclusive? -o Are A1, A2 and A3 collectively exclusive?