A hypothetical wi-fi transmission can take place at any of three speeds depending on the condition of

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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 11 Mb/s, and low (l) 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 A1 be the event "medium speed connection." What are the outcomes in A1?

(c) Let A2 be the event "mouse click." What are the outcomes in A2?

(d) Let A3 be the event "high speed connection or low speed connection." What are the outcomes in A3?

(e) Are A1, A2, and A3 mutually exclusive?

(f) Are A1, A2, and A3 collectively exhaustive?

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