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/ Route C: 3 × 2p = 6p
Route C: 3 × 2p = 6p
February 22, 2026
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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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