113年 - 113 國立臺灣大學_碩士班招生考試：工程統計#119664

科目：研究所、轉學考(插大)◆統計學 | 年份：113年 | 選擇題數：0 | 申論題數：5

試卷資訊

所屬科目：研究所、轉學考(插大)◆統計學

選擇題 (0)

申論題 (5)

1. Suppose at an intersection, motorcycles arriving follow a Poisson process with an average of 6 vehicles per minute. What is the probability that up to a minute will elapse by the time 2 motorcycles have come in to the intersection? [15 points]

2. Traveling between bwo areas in a city via shuttle bus is believed to take 18 minutes with a standard deviation of 5 minutes. During a period of time, the shuttle bus operated 30 times between this route. What is the probability that the average transport time was more than 25 minutes? Do you need to assume a certain prob

3. The traveling speed of 5 vehicles are 10.0, 12.5, 7.5, 9.0, and 9.5 km/h. Find a 95% confidence interval for the mean traveling speed. Do you need to assume a certain probability distribution of the traveling speed to find the confidence interval? [25 points]

4.A die is rolled 180 times with the following results. Is this a balanced die? Conduct a hypothesis test using a 0.01 level of significance. [15 poinis]

5.We estimate the regression line passing through the origin for the following data in Table 1. From the regression analysis’ report in Table 2, is the regression line a good fit? [20 points]