
标题: 2008 CFA Level 1 - Sample 样题(1)-Q14 [打印本页]
作者: 8586 时间: 2008-5-17 18:19 标题: 2008 CFA Level 1 - Sample 样题(1)-Q14
14、An analyst determined that approximately 99 percent of the observations of daily sales for a company were within the interval from $230,000 to $480,000 and that daily sales for the company were normally distributed. The mean daily sales and standard deviation of daily sales, respectively, for the company were closest to:
| Mean daily sales | Standard deviation of daily sales |
A. | $351,450 | $41,667 |
B. | $351,450 | $83,333 |
C. | $355,000 | $41,667 |
D. | $355,000 | $83,333 |
A. Answer A
B. Answer B
C. Answer C
D. Answer D
[此贴子已经被作者于2008-11-7 16:47:30编辑过]
作者: 8586 时间: 2008-5-17 18:19 标题: 答案和详解回复可见:
Correct answer = C
"Common Probability Distributions," Richard A. Defusco, Dennis W. McLeavey, Jerald E. Pinto, and David E. Runkel
2008 Modular Level I, Vol. 1, pp. 391-392
Study Session 3-9-g
construct and interpret a confidence interval for a normally distributed random variable, and determine the probability that a normally distributed random variable lies inside a given confidence interval
Given that sales are normally distributed, the mean is centered in the interval.
Mean = ($230,000 + 480,000) / 2 = $355,000
An interval including 99% of the observations extends three standard deviations either side of the mean. The standard deviation of daily sales = ($355,000 - 230,000) / 3 = $41,667.
[此贴子已经被管理员于2008-5-17 18:24:35编辑过]
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