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2008 CFA Level 1 - Sample 样题(1)-Q14

14An 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]

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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A

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t

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c

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