Binomial and Poisson distributions
Count the paths of a tree that give exactly k successes, see where the binomial formula comes from, and use the Poisson formula for events that arrive at random.
- سوريا: الصف ١٢
- فلسطين: الصف ١١
- أفغانستان: الصف ١٢
- روسيا: الصف ١٠
- ألمانيا: الصف ١٢
- فرنسا: الصف ١١
- بريطانيا: السنة ١٣
لم يُترجَم هذا المختبر إلى هذه اللغة بعد.
الدليل
This studio follows Afghan grade 12 chapter 7 (Bernoulli trials and the القانون الحداني, the Poisson distribution) and the UK A-level B(n, p).
In n independent trials, each with the same probability p of success, the probability of exactly k successes is (number of paths with k successes) × pk×(١ − p)n − k. The Poisson distribution counts events that happen at random in time or space, with average λ: P(X = k) = e−λ×λk ÷ k!.
Common mistakes worked on here: using only one path, using ١٢ for a bent coin, forgetting the number of paths, and answering with e−λ alone.