Problem 17. A Star Trek fan club wants to have William Shatner (Captain Kirk) speak at their convention. If they are able to get Shatner, they expect 12,000 fans to attend the convention. If Shatner is not available, then George Takei (Sulu) will speak. If Takei speaks, they expect only 7,000 fans to attend. There is a 40% chance (probability = 0.40) that Shatner will accept the invitation to speak. What %3D is the expected attendance at the convention?

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Problem 17. A Star Trek fan club wants to have William Shatner (Captain Kirk)
speak at their convention. If they are able to get Shatner, they expect 12,000 fans
to attend the convention. If Shatner is not available, then George Takei (Sulu) will
speak. If Takei speaks, they expect only 7,000 fans to attend. There is a 40%
chance (probability = 0.40) that Shatner will accept the invitation to speak. What
is the expected attendance at the convention?
Transcribed Image Text:Problem 17. A Star Trek fan club wants to have William Shatner (Captain Kirk) speak at their convention. If they are able to get Shatner, they expect 12,000 fans to attend the convention. If Shatner is not available, then George Takei (Sulu) will speak. If Takei speaks, they expect only 7,000 fans to attend. There is a 40% chance (probability = 0.40) that Shatner will accept the invitation to speak. What is the expected attendance at the convention?
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