1. Problem 1.2.1 A hypothetical wi-fi transmission can take place at any of three speeds depending on the condition of the radio channel between a laptop and an access point. The speeds are high (h) at 54 Mb/s, medium (m) at 11Mb/s, and low (1) at 1 Mb/s. A user of the wi-fi connection can transmit a short signal corresponding to a mouse click (c), or a long signal corresponding to a tweet (t). Consider the experiment of monitoring wi-fi signals and observing the transmission speed and the length. An observation is a two-letter word, for example, a high-speed, mouse-click transmission is hm. (a) What is the sample space of the experiment? (b) Let A, be the event "medium speed connection". What are the outcomes in A₁? (c) Let A be the event in A₂? 66 mouse click" What are the outcomes Let A be the event "high speed connection or low speed connection What are the outcomes in A₂? (d) (e) (f) Are A₁, A2, A3 collectively exhaustive? Are A, A2, A mutually exclusive?