4) What number of drones N makes your second-morning observations as likely as possible?5) Assuming again that the probability that N = n is proportional to the probability of observing this specificdata on the second day, find again the smallest nmax so that P (N ≤ nmax) = 0.95. A recent technology upgrade has given you access to the building's fleet of delivery bots, which can carry your bagelsfrom the lobby to anyone, anywhere in the building. You can't help but feel some affection for the tiny droids -they're cute (each droid is big enough to carry one bagel), and it's nice to interact with something that isn't human.The delivery bots are basically completely identical though, which raises an interesting question - how many of themare there, actually?You come up with the following plan: every morning when the building opens, there is a flock of delivery droidswaiting to pick up bagels. On the first day, you'll inject each bagel with a radioactive isotope before transferring itto the droids. The next day, trace radiation will mark any droid that carried a tagged bagel.On the first day, 150 droids are there in the morning to pick up bagels, and dutifully pick up the isotope-taggedbagels. The next day, there are 210 droids there to pick up bagels. Your sensitive radiation detector determines thatof them, 80 carry trace radiation from yesterday's bagels, and 130 of them are clear.Assume each delivery bot is equally likely to be chosen to pick up the morning bagels on any given day. On themorning of the second day, there are 150 tagged droids at work in the building, and the rest are untagged.

Given information: On the first day, 150 droids are there in the morning to pick up bagels, and…

4) What number of drones N makes your second-morning observations as likely as possible? 5) Assuming again that the probability that N = n is proportional to the probability of observing this specific data on the second day, find again the smallest nmax so that P (N ≤ nmax) = 0.95

4) What number of drones N makes your second-morning observations as likely as possible? 5) Assuming again that the probability that N = n is proportional to the probability of observing this specific data on the second day, find again the smallest nmax so that P (N ≤ nmax) = 0.95

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

4) What number of drones N makes your second-morning observations as likely as possible?
5) Assuming again that the probability that N = n is proportional to the probability of observing this specific
data on the second day, find again the smallest nmax so that P (N ≤ nmax) = 0.95.

A recent technology upgrade has given you access to the building's fleet of delivery bots, which can carry your bagels
from the lobby to anyone, anywhere in the building. You can't help but feel some affection for the tiny droids -
they're cute (each droid is big enough to carry one bagel), and it's nice to interact with something that isn't human.
The delivery bots are basically completely identical though, which raises an interesting question - how many of them
are there, actually?
You come up with the following plan: every morning when the building opens, there is a flock of delivery droids
waiting to pick up bagels. On the first day, you'll inject each bagel with a radioactive isotope before transferring it
to the droids. The next day, trace radiation will mark any droid that carried a tagged bagel.
On the first day, 150 droids are there in the morning to pick up bagels, and dutifully pick up the isotope-tagged
bagels. The next day, there are 210 droids there to pick up bagels. Your sensitive radiation detector determines that
of them, 80 carry trace radiation from yesterday's bagels, and 130 of them are clear.
Assume each delivery bot is equally likely to be chosen to pick up the morning bagels on any given day. On the
morning of the second day, there are 150 tagged droids at work in the building, and the rest are untagged.

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