Video Views and Shares: Central Tendency, Probability, and Diagnostics
Context
You are analyzing behavior in a video-sharing product. You have a distribution of per-video views, a known per-view share probability, and an observed divergence in trends: watch time per video is rising while the share rate is falling.
Tasks
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Central Tendency
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Given a distribution of video views per video, explain how to compute and interpret the mode, median, and mean. Note how these differ for skewed (long‑tailed) distributions.
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Binomial Probability
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Each video has a 10% chance of being shared. Assuming independent views across videos, what is the probability that at least one of ten viewed videos is shared?
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Diverging Trends: Watch Time ↑, Share Rate ↓
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Propose plausible hypotheses (causal vs. correlational) for rising watch time per video alongside a falling share rate.
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Outline how you would test these hypotheses and decide next steps.