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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 不知道在這裡發問適不適合 如果不適合 會自D 但是我怎麼算都求不出來 而且這題目是老師自己出的 也沒有所謂的解答 老師只是要我們自己想一想要怎麼求解 真的很想要知道答案 拜託大家了... 謝謝 -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 220.134.37.231
skylikewater:(a) 常態+常態=常態吧 meanY=60, varY=64 01/04 03:42
skylikewater:(b) z score=+-0.125 查z表 01/04 03:43
skylikewater: 還是應該查t表 df=150啊.... 01/04 03:44
skylikewater:(c) 應該就是查z score=0.25了吧 我也是嘗試寫的 01/04 03:45