(3) 樣本平均重量 X 落在 [26.8, 29.2] 之間的機率為？__________

題組內容

4. (12%)桃園機場的行李中心處理一批旅客行李，旅客行李的重量假設服從一個常態分配，其平均數μ=28公斤，而其標準差σ未知，如果由其中隨機抽出36件行李，並稱其重量，得到樣本標準差s=4公斤。

2. Assuming a competitive market in the U.S., together with a supply function: $ q{s} = 400p - 400 $ and a demand function: $ q{d} = 2400 - 400p $. When the equilibrium price and quantity are reached, what are equilibrium price and quantity? (10%). Now due to Trump's reciprocal tariff policy, the authorities impose a $4 per-unit tax to be collected from sellers. We denote $ P{c} $ as the price paid by consumers after imposed tax and $ P{s} $ as the price received by producers after tax. Please solve the after-tax equilibrium quantity ($ q^{} $) and equilibrium prices for both consumers $ P{c}^{} $ and sellers $ P{s}^{*} $. (15%)

題組內容

(3) 樣本平均重量 \( X \) 落在 [26.8, 29.2] 之間的機率為？__________

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