台大資管所 — 題庫

Amy analyzes the factors that determine how much garbage a family produces per week. Factors including the size of the house, the number of children, and the number of adults who are usually home duri…

Let Y₁, Y₂, ..., Yₜ be an identical and independent sample from population Ω with mean μ and variance σ². T is a multiple of 5. Define estimator m as: m = [Σᵀᵢ₌₁ g(i)Yᵢ] / [Σᵀᵢ₌₁ g(i)], where g(i) =…

Let X₁ and X₂ have the joint probability mass function f(x₁, x₂) = { (|x₁| + |x₂| + |x₁ + x₂|) / c, x₁ ∈ {-1, 0, 1}, x₂ ∈ {0, 1}; 0, otherwise. } (A) Determine the normalizing constant c. (5%) (B)…

Let Y₁, Y₂, and Y₃ be an independent and identically distributed random sample from a distribution with mean μ and variance σ² < ∞. Consider the following estimators for μ: m₁ = Y₁, m₂ = (Y₁ + αY₂) …

The mobile game AngryRabbit team examines users' premium treasure purchase behavior related to cumulative effective playtime. Premium treasures offer certain advantages in the game and are valuable to…