Suppose that the time between successive near Earth approaches by asteroids is exponentially distributed and that the average time between such passes is one hundred years. Suppose that an asteroid has just passed. What is probability that the next passing will be at least two hundred years from now?
I'm not sure what kind of information this passage is giving and is asking us to compute. So even if you don't the actual work, could you explain the concepts?
Thank you! :)
I'm not sure what kind of information this passage is giving and is asking us to compute. So even if you don't the actual work, could you explain the concepts?
Thank you! :)
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well i've never heard of this distribution before but i looked it up on wikipedia. http://en.wikipedia.org/wiki/Exponential…
i think theyre saying lambda = 100 in this case
so i think we should integrate the pdf from x = 0 t x = 200
i got 1 - (1/e^-20000) for the probability that it WOULD come in the next 200 years
oh and I'm stupid since thats just the CDF.
so it looks like the answer is e^(-20000), which is basically 0.
i think theyre saying lambda = 100 in this case
so i think we should integrate the pdf from x = 0 t x = 200
i got 1 - (1/e^-20000) for the probability that it WOULD come in the next 200 years
oh and I'm stupid since thats just the CDF.
so it looks like the answer is e^(-20000), which is basically 0.