作者ppppppppp (凹呜呜)
看板Statistics
标题[问题] 指数分配(条件期望值??)
时间Wed Apr 26 21:10:26 2023
想请问一题统计
不太清楚第(3)小题要怎麽解
Printers A and B are assigned to print two large files in parallel now.
The file sizes are different and thus the processing time will be different.
Assume the processing time for printer A is exponentially distributed with
mean 5 minutes, and independent of printer A, processing time for B is
exponentially distributed with mean 2 minutes.
(1) What is the average amount of time till that either
printer A or printer B completes the printing task?
(2) Given printer B completes the printing task first,
what is the expected completion time
for the printing task associated with B?
(3) Given printer B completes the printing task first,
what is the average amount time that both files are printed and ready?
麻烦了 谢谢 <(_ _)>
--
╭╮
╭──╮──╮──╮──╮──╮──╮──╮──╮──╮╭╯╰─╮ ┼ │ │
│╭╮│╭╮│╭╮│╭╮│╭╮│╭╮│╭╮│╭╮│╭╮│╰╮╭╮│ │ ├ ├
│╰╯│╰╯│╰╯│╰╯│╰╯│╰╯│╰╯│╰╯│╰╯│ ││││ ┼ │ │
│╭─╯╭─╯╭─╯╭─╯╭─╯╭─╯╭─╯╭─╯╭─╯╭╯│││╮ │ │ │
╰╯ ╰╯ ╰╯ ╰╯ ╰╯ ╰╯ ╰╯ ╰╯ ╰╯ ╰─╯╰─╯ ╯ ╰ ╰╯
--
※ 发信站: 批踢踢实业坊(ptt.cc), 来自: 114.40.231.31 (台湾)
※ 文章网址: https://webptt.com/cn.aspx?n=bbs/Statistics/M.1682514633.A.316.html
1F：→ yhliu: E[max(X1,X2)|X2<X1] = E[X1|X2<X1] 04/28 06:52
2F：→ ppppppppp: 原来如此 谢谢回答 04/28 19:11