设随机变量X是离散型随机变量,X∽B(n,p)且EX=1.6,DX=1.28,则数对X~B(n,p)的取值为 ( ) A.(8,0.2) B.(5,0.32) C.(7,0.45) D.(4,0.4)
问题描述:
设随机变量X是离散型随机变量,X∽B(n,p)且EX=1.6,DX=1.28,则数对X~B(n,p)的取值为 ( )
A. (8,0.2)
B. (5,0.32)
C. (7,0.45)
D. (4,0.4)
答
∵离散型随机变量X~B(n,p),EX=1.6,DX=1.28,
∴np=1.6,np(1-p)=1.28,
解得n=8,p=0.2.
故选:A.