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Home » But instead, let’s use **generating functions with exclusion**, or a **reduced method**. - Abbey Badges

But instead, let’s use generating functions with exclusion, or a reduced method. - Abbey Badges

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Ein Genetiker führt ein Experiment durch, bei dem zwei Gene, C und D, interagieren. Gen C ist in 30 % der Proben exprimiert, Gen D in 50 %. Wenn die Gene unabhängig voneinander wirken, wie hoch ist die Wahrscheinlichkeit, dass eines der beiden Gene in einer zufällig ausgewählten Probe exprimiert wird, aber nicht beide?

📌 P(C nur) = P(C) × (1 – P(D)) = 0,3 × 0,5 = 0,15

📌 P(D nur) = (1 – P(C)) × P(D) = 0,7 × 0,5 = 0,35

📌 P(eines, aber nicht beide) = 0,15 + 0,35 = 0,50

📌 Ein Geograf, der den Anstieg des Meeresspiegels analysiert, modelliert die Höhe einer Küstenstadt als Funktion der Zeit: h(t) = 10 + 0,15t + 0,005t², wobei h in Metern und t in Jahren seit 2000 angegeben ist. Wie hoch wird der Meeresspiegel relativ zur Ausgangshöhe im Jahr 2000 im Jahr 2030 erwartet sein?

📌 t = 2030 – 2000 = 30 Jahre

📌 h(30) = 10 + 0,15(30) + 0,005(30)²

📌 = 10 + 4,5 + 0,005(900) = 10 + 4,5 + 4,5 = 19 Meter

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