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[CFA level 1模拟真题]Version 2 Questions-Q14

Q14. An analysis 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 daffy sales, respectively, for the company were closest to:

 

Mean daily sales         stance deviation of day sales

A   $351,450                      $41,667

B   $351,450                      $83,333

C   $355,000                      $41,557

D   $355,000                      $83,333

 

答案和详解如下:

 

Q14,  C    07Mnduiar Level I, Vol.1, pp389 390  Study Session 3-9-9

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

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