Question: Statistics and Probability poisson process help 5. Let N (t) be the number of earthquakes of magnitude 2 5 in California in time interval [0,13]

Statistics and Probability poisson process help

5. Let N (t) be the number of earthquakes of magnitude 2 5 in California in time interval [0,13] with t = 0 at 1/1/2015 (time measured in years). Assume N (t) is Poisson process with rate A. Let T3 be the moment of the 3rd earthquake of magnitude 2 5. (a) Find P (T3 > I) ; (b) Find the cdf and pdf of T3. Is T3 a Gamma(a, A) r.v.'? Identify a: and A

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Explain how to derive a sequence of transformations to achieve the overall effect of performing a 2D rotation about an arbitrary point. Discuss the problems of providing tractable models of...

e SRAM banks be efficiently interconnected so that the cache's access time is constant regardless of which bank is accessed? [4 marks] (d) Why might it be advantageous to be able to manage the amount...

s1 educated (SSE) student for every three public school educated (PSE) students. Reasoning that students are not very dissimilar from threads, he suggests the following entry and exit routines be...

(a) How does the use of condition codes complicate the implementation of a superscalar processor that supports out-of-order execution? [4 marks] (b) A branch predictor with a high prediction accuracy...

Please answer the following - quite urgent !!! 5. Let N (t), t 2 0, be the number of claims an insurance company receives up to time t (measured in months). The arrivals of these claims follow a...

/\As part of the derivation of the full learning algorithm we find that the function f might be expressible in terms of m new parameters i as f1,...,m,w0 (x) = Xm i=1 yiiK(xi , x) + w0. (2) Explain...

answer the question clearly (a) Write down an expression for the distribution Pr(n|) where n {1, . . . , 9}. [2 marks You are preparing to participate in a password-cracking competition. During the...

The simulator will be used to study how cyclists ride at night in low light conditions and in particular how well they can spot hazards. A typical, non-HDR LCD display will be used for the simulator....

An amusement park consists of a roller coaster, a ferris wheel, an arcade, carnival games (one area), concessions, and a bathroom area (see Figure A.12 for the basic layout of the park). The parks...

Question: Track down the basic point(s) for directing a theory test on the mean with a2 obscure for (a) left-followed test with n = 25; a = .05 (b) left-followed test with n = 150; a = .10 (c)...

According to the 2010 Census, 16% of the people in the United States are of Hispanic or Latino origin. One county supervisor believes her county has a different proportion of Hispanic people than the...

Give a proof by cases that x x for all real numbers x.

Wynton has been running the Community and Family Health Division at the Red Oak County Health Department for 10 years. Recently, he has been faced with a new challengetheir federal funders want their...

The Hsu Manufacturing Company has two service departments: Maintenance and Accounting. The Maintenance Department's costs of $641,850 are allocated on the basis of machine hours. The Accounting...