A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process Nt in continuous time. (Fornow, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/λ, where X is apositive parameter. Let the unit of time be an hour.Question 17Suppose it is 10 a.m. now, and the last claim had arrived at 9:00 a.m. What is the probability that the inter-arrival time between thelast and the next claim will be not smaller than 2 hours? (In other words, after 9:00 a.m. you will wait for the next claim at least 2hours, but your present time is 10am, and you do know when the last claim arrived. )2e-1et - e-te-21e-1Question 18Suppose it is 10 a.m. now, and the last claim had arrived at 9:00 a.m.. What is the probability that there will be exactly three claimsbetween 9:30 a.m. and 1 p.m.?-4X32 1³ e27X³e-3x2/A³e-3A8373 X ³ - 7 148

Since, there are multiple questions. As per Bartelby guidelines, only one question can be solved.…

Answered: A flow of claims arriving at an…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

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A flow of claims arriving at an insurance company is represented by a homogeneous Poisson process Nt in continuous time. (For now, we just count the number of claims arrived by time t.) Suppose that the mean inter-arrival time is equal to 1/A, where A is a positive parameter. Let the unit of time be an hour. Question 19 Suppose now that the sizes of claims are independent, and the size of a particular claim equals either 2 or 5 units of money with probabilities 2/3 and 1/3, respectively. Denote by Kt1 and Kt2 the numbers of claims by time t, amounting to 2 or 5, respectively. That is, for example, K₁₁ is the number of claims by time t that exactly equal to 2.) What is E(K+1) ? 2λt 3 3Xt 2λt 4Xt 3 Question 20 What is E(K+2) ? Xt 3 5Xt 3 2λt 3 5Xt
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