Q18:
A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent of the distribution is less than m + d ?
A. 16%
B. 32%
C. 48%
D. 84%
E. 92%
答案是D偶不会的说.哪位好心人给讲讲吧
这类似正态分布吧,
实际上题目中给出P{(X-m)的绝对值<d}=0.68
所以P{(X-m)的绝对值>=d}=1-0.68=0.32;
因为是均衡分布,所以
P{(X-m)>=d}=0.5* P{(X-m)的绝对值>=d} =0.16;
要求的percent of the distribution is less than m + d
即P{X<m+d}=P{(X-m)<d}=1-P{(X-m)>=d}=0.84
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