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Home » Time to travel 450 km = \( rac45093.75 = 4.8 \) hours. - Portal da AcÃºstica

Time to travel 450 km = \( rac45093.75 = 4.8 \) hours. - Portal da AcÃºstica

📅 February 28, 2026 👤 scraface

Feb 28, 2026

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📌 Thus, the probability that at least two channels allow sufficient flow is:

📌 \boxed{0.5}

📌 Question: A science communicator is filming a video and plans to use 3 different animations, each independently having a 75% chance of being accepted by the editing team. What is the probability that fewer than two animations are accepted?

📌 Let each animation being accepted be a Bernoulli trial with success probability $ p = 0.75 $.

📌 We want the probability that **fewer than two** animations are accepted, i.e., 0 or 1 accepted.

📌 Let $ X \sim \text{Binomial}(3, 0.75) $.

📌 P(X < 2) = P(X = 0) + P(X = 1)

📌 $ P(X = 0) = \binom{3}{0} (0.75)^0 (0.25)^3 = 1 \cdot 1 \cdot 0.015625 = 0.015625 $

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