high G |
A tyrannosaur is walking around.
This tyrannosaur currently has a full tummy (i.e. 10,000 calories stored).
For this tyrannosaur with 10,000 calories stored:
(i) The tyrannosaur uses calories uniformly at a rate of 10,000 per day.
If his stored calories reach 0, he dies.
(ii) The tyrannosaur eats scientists (10,000 calories each) at a
Poisson rate of 1 per day.
(iii) The tyrannosaur eats only scientists.
(iv) The tyrannosaur can store calories without limit until needed.
1. Calculate the probability that the tyrannosaur dies within
the next 2.5 days.
2. Calculate the expected calories eaten in the next 2.5 days.
high G |
We know the dirty dinosaur starts with 10,000 calories, and we know
his burn rate.
Day 1:
o if he doesn't eat a scientist today, he dies - what is this chance?
o if he only eats 1 scientist he makes it to tomorrow - what is this chance?
o if he eats 2 or more scientists he'll live beyond 2.5 days, so this won't factor in to this question.
Day 2:
-- Now, think about the possible cases for Day 2 given what could have
happened on day 1.
.
Oh, yay. A little line diagram will really help you stay organazied.
ShadowcatX |
InVinoVeritas wrote:
Bad analogy. I don't starve when I'm broke.
Prove it or you're a Liar.
I don't know if you're trying to be funny or not, but if not. . .
Loans, friends, family, churches, government assistance, hunting / gathering / fishing, theft, 3 hots and a cot (perhaps courtesy of the theft), jobs (just because you are broke doesn't mean you have to stay that way), etc.
Grand Magus |
Grand Magus wrote:InVinoVeritas wrote:
Bad analogy. I don't starve when I'm broke.
Prove it or you're a Liar.
I don't know if you're trying to be funny or not, but if not. . .
Loans, friends, family, churches, government assistance, hunting / gathering / fishing, theft, 3 hots and a cot (perhaps courtesy of the theft), jobs (just because you are broke doesn't mean you have to stay that way), etc.
Then you are not broke.
QED.
Robert Hawkshaw |
InVinoVeritas |
ShadowcatX wrote:Grand Magus wrote:InVinoVeritas wrote:
Bad analogy. I don't starve when I'm broke.
Prove it or you're a Liar.
I don't know if you're trying to be funny or not, but if not. . .
Loans, friends, family, churches, government assistance, hunting / gathering / fishing, theft, 3 hots and a cot (perhaps courtesy of the theft), jobs (just because you are broke doesn't mean you have to stay that way), etc.
Then you are not broke.
QED.
Since you are unwilling to accept the definition of "broke" as I spoke it, you have called me a liar.
Xabulba |
Grand Magus wrote:ShadowcatX wrote:Grand Magus wrote:InVinoVeritas wrote:
Bad analogy. I don't starve when I'm broke.
Prove it or you're a Liar.
I don't know if you're trying to be funny or not, but if not. . .
Loans, friends, family, churches, government assistance, hunting / gathering / fishing, theft, 3 hots and a cot (perhaps courtesy of the theft), jobs (just because you are broke doesn't mean you have to stay that way), etc.
Then you are not broke.
QED.
Since you are unwilling to accept the definition of "broke" as I spoke it, you have called me a liar.
What is the probability of a ensuing duel?
Obo the all seeing. |
If a "scientist" is eaten that only proves it was not a real scientist so either:
A. The tyrannosaur does not really need a scientist to live.
B. The monster that ate the scientist was some otherworldy being smart enough to catch scientist.
C. My premise about tyrannosaurs being stupid is incorrect.
By the way "C" is not an option because that would mean I was actually wrong about something.
Crimson Jester |
Oh this is simple since the dino can store unlimited calories he just gorges himself on as many scientists that he can catch in one day. Then he can take a day or two off without worrying about his next meal then when some idiotic scientist comes by he starts munching again. He has only two real concerns here, 1 when does he run out of scientists, and 2 once he has eaten the unlucky and stupid, the real smart ones are going to build that damn death ray and nuke him.
high G |
Celestial Healer wrote:Do the dinosaurs in this equation have laser rifles?No but they have Brilliant Energy teeth.
This is a great idea. Laser rifles and Brilliant Energy teeth should
make the dirty beast more efficient, right?Since the Poisson rate (lambda) controls the rate, or how "efficient",
the damn tyrannosaur is at eating scientist the effect of these
advanced technologies will be to increase the Poisson rate (lambda).
So, let's say the tyrannosaur now:
(ii) eats scientists (10,000 calories each) at a Poisson rate of
2 per day. (try with 5 too)
.
1. Calculate the probability that the tyrannosaur dies within
the next 2.5 days. (It should be much lower now.)
.
Also, if we relate this increase in Poisson rate back to your own
finances, you should go broke a lot less often now, because you get
free lance gigs much more often.