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Home » gravitational pull: Biff Tannen’s Cheeky Blunders Behind His Pop Culture Domination! - Upplift

gravitational pull: Biff Tannen’s Cheeky Blunders Behind His Pop Culture Domination! - Upplift

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 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?

📌 Each community performs 3 dances per year.

📌 Expected number of dances per selected community: 3.

📌 Since X = sum of expected values over 3 selected communities:

📌 E[X] = 3 × 3 = <<3*3=9>>9.

📌 A robotics engineer programs a swarm of 10 autonomous inspection robots. Each robot independently detects a flaw with probability 0.8. What is the probability that at least 8 robots detect a flaw during a single inspection cycle?

📌 This is a binomial probability: n = 10, p = 0.8, find P(X ≥ 8) = P(X=8) + P(X=9) + P(X=10).

📌 P(X=k) = C(10,k) (0.8)^k (0.2)^(10−k)

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