(ii) (10%) What is the probability that the next year would be a hazard year for City A?

(ii) (5%) What is the expected value for Y?

(iii) (10%) Are X and Y statistically independent? Give your reasons.

(iv) (5%) Given x=2, what is the probability that y=10?

(i) (10%) What is the probability that there will be exactly one large-magnitude earthquake next year in City A?

(iii) (10%) What is the probability that there will be 2 hazard years within the next 4 years?

4. (10%) A survey is performed to study the proportion of residents in City A and City B who support the construction of a new railway line. It is found that 680 of 1000 City A residents favor the construction while 730 of 1000 City B residents are in favor. Is there a significant difference between the proportions of City A and City B residents who favor the construction of the new railway line? Use the P-value approach to help your draw your conclusion. Use 0.05 as the level of significance.

(i) Construct a 95% confidence interval for the difference in the mean yield strength for the 2 companies. Assume normality for the distribution of yield strength. (10%)

(ii) Construct a 95% confidence interval for the population variance of the yield strength for Company A. (10%)

一、 被告緘默權在我國實務之實現為何？請從理論論述緘默權得發揮影響實務至如何之程度？（35%）

1. 設若審判期日，法院因被告甲之聲請而傳喚乙到庭作證，惟證人乙既未到庭亦未陳明未到庭之理由。法院並未拘提乙，即以經傳喚不到為由，逕行朗讀乙於警詢時之筆錄，作為裁判之依據。試說明法院踐行程序有無違誤？此外，設若甲並未聲請調查證人乙，試問情形有無或有何不同？