Sebuah toko alat-alat listrik mencatat rata-rata penjualan lampu TL 40 W setiap hari 5 buah. Jika permintaan akan lampu tersebut mengikuti distribusi poisson, peluang terdapat 3 penjualan lampu TL 40 W adalah ?
Q. Sebuah toko alat-alat listrik mencatat rata-rata penjualan lampu TL 40 W setiap hari 5 buah. Jika permintaan akan lampu tersebut mengikuti distribusi poisson, peluang terdapat 3 penjualan lampu TL 40 W adalah ?
Understand the Problem: Step Title: Understand the ProblemReasoning: We need to find the probability of selling exactly 3 TL 40 W lamps in a day, given the average sales are 5 per day.Calculation: Average (λ)=5 lamps per day.
Apply Poisson Distribution Formula: Step Title: Apply Poisson Distribution FormulaReasoning: The probability of exactly k events in a Poisson distribution is given by P(X=k)=k!e−λ⋅λk.Calculation: P(X=3)=3!e−5⋅53=60.0067⋅125=0.1404
Final Calculation Check: Step Title: Final Calculation CheckReasoning: Check if the calculation matches the requirements of the problem.Calculation: Rechecking, P(X=3)=0.1404 seems correct.