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研究所、轉學考(插大)◆統計學
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107年 - 107 國立臺灣大學_碩士班招生考試：統計學(c)#122753
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題組內容
(5) (20 points) Let the probability density function of random variable X be:
Find:
(c) The median of X.
其他申論題
(a) Find the 96% confidence interval for the fraction of the voting population favoring the suit.
#522444
(b) How large a sample is needed if we wish to be 96% confident that our sample proportion will be within 0.02 of the true fraction of the voting population?
#522445
(a) Cumulative distribution of X.
#522446
(b) P(x＞0.25)
#522447
(a) What is the probability that at least one accident will occur on a given blizzard day?
#522449
(b) Suppose there are five blizzard days this winter. What is the probability that two out of these five blizzard days are accident free? Assume that accident occurrence between blizzard days are statistically independent.
#522450
1. (10 points)A random sample of 20 students yielded a mean of = 72 and a variance of s² = 16 for scores on a college placement test in mathematics. Assuming the scores to be normally distributed, construct a 98% confidence interval for σ².
#522451
2. (10 points)Show that -1 ≤ ρ ≤ 1 where ρ is the coefficient of correlation.
#522452
(a)Assume the samples are paired.
#522453
(b)Assume the samples are not paired.
#522454
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