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4. (10%)The following data are given:
Fit a polynomial (多項式) regression equation of the form

其他申論題

1. (20%) Consider the following frequency table of observations on the random variable X. Based on these 50 observations, is a binomial (二項) distribution with a number of trials (n)=6 and a probability of success (p)=0.25 an appropriate model? Perform a goodness-of-fit test (適合度檢定) with α=0.05.

2. (10%)Prove the mean and variance of the normal distribution N(μ, σ²) are μ and σ², respectively.

(a)Determine the probability of exactly one accident over a 2-month period.

(b)If fatalities (死亡) are involved in 20% of the accidents, what is the probability of fatalities occurring at this intersection over a period of 2 months? Assume that events of fatalities between accidents are statistically independent.

(a)Use a 0.1 level of significance.

(b)Use the P-value approach.

(a)Test the hypothesis that the mean is not 17.0, using the P-value approach.

(b)Find a 99% two-sided confidence interval on the mean.

題目：教育中的國際思維與在地認同說明：在教育中，加強學童對自身文化的認同，同時引導學童認識國際社會，是兩項必須兼顧的教育目標，請就教育中的國際化與本土化，書寫您的認知與意見。

1. 試繪出典型水廠淨水流程，並包括廢水處理單元。

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