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Home » Why Every Home Needs Dopamine Decor – Science-Backed Happy Home Fix! - Sterling Industries

Why Every Home Needs Dopamine Decor – Science-Backed Happy Home Fix! - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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Solution: This is a binomial probability problem with $ n = 7 $, $ p =...
Using the binomial formula:
$ P(5) = \binom{7}{5} (0.4)^5 (0.6)^2 = 21 \cdot 0.01024 \cdot 0.36 =...
$ P(6) = \binom{7}{6} (0.4)^6 (0.6)^1 = 7 \cdot 0.004096 \cdot 0.6 = 0...
$ P(7) = \binom{7}{7} (0.4)^7 (0.6)^0 = 1 \cdot 0.0016384 \cdot 1 = 0....
P(X \geq 5) = 0.0774144 + 0.0172032 + 0.0016384 = 0.096256
\boxed{0.096256}
Question: A chemical engineer tests 6 independent algae samples for bi...
Solution: This is a binomial probability problem with $ n = 6 $, $ p =...
$ P(0) = \binom{6}{0} (0.3)^0 (0.7)^6 = 1 \cdot 1 \cdot 0.117649 = 0.1...

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