Route C: 3 × 2p = 6p

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• Expected delays:
• Route A: 4 × 1.5p = 6p
• Route B: 5 × p = 5p
• Total expected delays = 6p + 5p + 6p = <<6+5+6=17>>17p.
• #### 17p
• An anthropologist studies 8 remote communities, each with a different ceremonial dance performed an average of 3 times per year. She selects 3 communities at random to conduct in-depth ethnographic fieldwork. Let X be the random variable representing the total number of dances observed across the 3 selected communities in one year. What is the expected value of X?

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