題組內容

2. (15%) Let X equal the weight in grams of a miniature candy bar. Assume that \( \mu = \text{E(X)} = 24.43 \) and \( \sigma^2 = \text{Var(X)} = 1.875 \). Let \( \bar{X} = \sum_{i=1}^{n} X_i / n \) be the sample mean of a random sample of n = 30 candy bars. Find

(3) (5%) \( \Pr(24.18 \leq \overline{\text{X}} \leq 24.93) \) (Hint: Use the empirical rule for normal distributions)