设X为随机变量,X到B(n,1⼀3),若X的方差为D(X)=4⼀3,则P(X=4)等于

A.4/729 B.1/6C.20/243D.80/243
2025-05-10 14:37:06
推荐回答(4个)
回答1:

D(X)=N*1/3*2/3=4/3,解之得N=6,所以P(X=4)=1/3的四次方*2/3的平方*C6 4,结果是C. 求采纳

回答2:

随机变量X为随机变量,X~B (n, 1 3 ) ,∴其期望EX=np= 1 3 n =2,∴n=6,∴P(X=2)= C 26 ( 1 3 ) 2 (1- 1 3 ) 4 = 80 243

回答3:

D(X) = npq
4/3 = n(1/3)(2/3)
n = 6
P(X=4)
= (6C4)(1/3)^4 .(2/3)^2
=15. (1/3)^4 .(2/3)^2
=20/243

回答4:

D
望采纳
n=6
多谢