4. Let θ~U[0, 2π]. Find the p. d. f cos 4θ.

二、統計(B)  1. Let X1 , X2 , … , be i. i. d when u ≤ a or u ≤ b for some a ＜ b. Find Maximum likelihood Estimator u^ . 

2. (a) Find dx. 

(b) Find dxdy. 

(a) Find power function K(θ), θ ＞ 0.

(b) Find K and K(2). 

1. Explain what is a perfusion-limited condition in the respiratory system, and how it causes dyspnea (difficulty in breathing), please (25%).

2. Give a diagram illustrating the pressure-volume relationship of the left ventricle during a cardiac cycle, please (25%).

3. Explain how the "renal function" can be measured, please (25%).

4. Explain how the "total peripheral resistance" can be estimated, please (25%).

(1) Measure 1 Starting from a new government of Country B took office in 201s, the relations between Country A and Country B has been seriously dcteriorating. These two countries have been in military tension since 2016, with sporadic armed conflicts at the border from time to time, Given the gravity of the situation, Country B imposed econo omic sanctions against Country A in 2017. Sanctions include restricting Country B's export of certain equipment for Country A, which is primarily used for the technology industry under development. In response, Country A imposed an import ban on certain food products from Country B in 2018 (Measure 1: the import ban). The food products subject to the import ban account for more than half of Country B's agricultural exports. (25%)

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