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

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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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Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
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This question comes from Probability and Statistics for Engineering and the Sciences 9th Ed. by Devore, Jay Can you explain what a continuity correction is and how it is calculated? Also can you explain why .5 was chosen for this particular problem? Will it always be subtracted from one end and added to the other? Thank you for your time.
The unloading dock at the warehouse of P&S Supermarket has two workers who unload their own assigned truck respecsvely. The inter arval time of trucks is exponential with a mean of 20 minutes while the unloading time per truck is exponential with a mean of 15 minutes. If a truck arrives and two workers are unloading other trucks, the arriving truck joins the line of trucks waiting for service. Assume there is enough space to accommodate essentialy any number of trucks waiting in the ine int You may use the formulas for M/M/2 Queuing Model) What is the average number of trucks in the waiting line? O a. 0.0333 Ob.0.s O. 3 Od.0,1227 Oe. 2.25
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