sdu

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. A man finds that two things cause him to wake up at night-noise or indigestion. If it is due to noise, the time to fall asleep again has exponential distribution with rate 5 per hour, and if it is due to indigestion the time to fall asleep again has exponential distribution with rate 2 per hour . When he is asleep, he stays asleep for an exponentially distributed time with mean 2 hours. Assuming the waking and sleeping perids are all independent of each other and that each time he wakes up it is due to noise with probability 2/3 and indigestion with probability 1/3, what proportion of time is he up because of indigestion and spend s ofn sleeping?

  • sdu -

    What on earth is sdu?

  • Let's call it applied statistics -

    but it would take me a sleepless night to figure it out :(

  • sdu -

    LOL!

  • To Damon -

    Best answer I have seen in a week !!!

  • sdu -

    xyz

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