Confidence Interval - Poisson
Answer
- The questioner was satisfied with and accepted the answer, or
- The answer was evaluated as being 100% correct by the judge.
1 Attachment

-
Don't you need to calculate the probability coverage? From what I understood you would need to calculate the probability coverage for the first given interval and then use it to find another interval with P{X<=2} with the same probability coverage. How did you skip not finding it?
-
What do you mean by probability coverage? You know that with certain confidence level lambda in inside the given interval. So with the same confidence level, P[x <=2] will lie in the interval I computed. There doesn't seem to be a need to compute anything else.
-
Sorry, some terms might get lost in translation. Coverage probability I mean the percentage of chance of lambda being inside the confidence interval. So I was thinking you would need to calculate the percentage of chance of lambda being inside [0,3;1,8] and use this same percentage to determine the other confidence interval for P[X>=2]
-
No, that percentage of chance is not given for lambda, and hence you can not find it for p[X<=2]. That percentage of chance is unknown but is the same for both confidence intervals.
-
But how can you be certain that is the same for both?
-
It is because the second interval is directly computed from the first interval, so the probability of both intervals are the same.
-
Makes sense. Why does he mention this coverage probability though? It seems like it wouldn't change your answer with your without it
-
The problem does not ask for the coverage probability. It just wants it to be the same.
- answered
- 788 views
- $4.62
Related Questions
- Fisher Information and Wilson Confidence Interval. B+D only.
- Statistics and Probability
- Currently studying a grad level Statistical Inference course. I'd just like some clarification regarding how to obtain the Rao-Cramer Lower Bound for a statistic.
- Joint PDF evaluated over a curve $P_{U,V}$
- Probability and Statistics question please help
- Choosing the right statistical tests and how to organize the data accourdingly (student research project)
- Statistics problem
- Why is the t-test for two independent samples $\ t^* = \frac{(\bar{x}_1 - \bar{x}_2)}{\sqrt{\frac{S_1^2}{n_1} + \frac{S_2^2}{n_2}}}$?
Extend the deadline for a couple of hours if you can. I may be able to answer this.
Max. I can do is +1 hour, is it enough?