[统计] 一个统计问题,求解~拜托了!

楼主: slouming (*slou-ming*)   2011-01-03 22:56:28
If x1, x2, x3 are three normally and independently distributed random
variables with means 7, 28, 6, and variances 4, 12, 4, respectively.
Suppose y = 2x1 + x2 + 3x3
(a) Find the distribution of y and its parameters.
(b) If a random sample of size 150 taken from the distribution of y, find
the probability of sample mean (X-Bar)lies between 59 and 61.
(c) Find the probability of sample mean (X-Bar) exceeds 62
不知道在这里发问适不适合
如果不适合 会自D
但是我怎么算都求不出来
而且这题目是老师自己出的
也没有所谓的解答
老师只是要我们自己想一想要怎么求解
真的很想要知道答案
拜托大家了...
谢谢
作者: skylikewater (choc.)   2011-01-04 03:42:00
(a) 常态+常态=常态吧 meanY=60, varY=64(b) z score=+-0.125 查z表还是应该查t表 df=150啊....(c) 应该就是查z score=0.25了吧 我也是尝试写的

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