NO.PZ2022123001000146
问题如下:
The probability distribution for a company’s sales is:
The standard deviation of sales is closest to which of
the following?
选项:
A.USD9.81 million
USD12.20 million
USD32.40 million
解释:
A is correct. The analyst
must first calculate expected sales as 0.05 × USD70 +0.70 × USD40 + 0.25 ×
USD25 = USD3.50 million + USD28.00 million + USD6.25 million = USD37.75
million.
After calculating expected
sales, we can calculate the variance of sales:
σ2 (Sales)= P(USD70)[USD70 – E(Sales)]2 + P(USD40)[USD40 –
E(Sales)]2 + P(USD25)[USD25 – E(Sales)]2
= 0.05(USD70 – 37.75)2
+ 0.70(USD40 – 37.75)2 + 0.25(USD25 – 37.75)2
= USD52.00 million + USD3.54
million + USD40.64 million= USD96.18 million.
The
standard deviation of sales is thus σ = (USD96.18)1/2 = USD9.81
million.
标准差的公式不是除以N-1吗?怎么这里不用除啊