[問題] 指數分配(條件期望值??)
想請問一題統計
不太清楚第(3)小題要怎麼解
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?
麻煩了 謝謝 <(_ _)>
--
╭╮
╭──╮──╮──╮──╮──╮──╮──╮──╮──╮╭╯╰─╮ ┼ │ │
│╭╮│╭╮│╭╮│╭╮│╭╮│╭╮│╭╮│╭╮│╭╮│╰╮╭╮│ │ ├ ├
│╰╯│╰╯│╰╯│╰╯│╰╯│╰╯│╰╯│╰╯│╰╯│ ││││ ┼ │ │
│╭─╯╭─╯╭─╯╭─╯╭─╯╭─╯╭─╯╭─╯╭─╯╭╯│││╮ │ │ │
╰╯ ╰╯ ╰╯ ╰╯ ╰╯ ╰╯ ╰╯ ╰╯ ╰╯ ╰─╯╰─╯ ╯ ╰ ╰╯
--
※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 114.40.231.31 (臺灣)
※ 文章網址: https://www.ptt.cc/bbs/Statistics/M.1682514633.A.316.html
→
04/28 06:52,
2年前
, 1F
04/28 06:52, 1F
→
04/28 19:11,
2年前
, 2F
04/28 19:11, 2F