Answered: For a non-homogeneous Poisson process,…

For a non-homogeneous Poisson process, the intensity function is given by λ(t) = 5 if t is in (1, 2] or (3, 4]; λ(t) = 3 if t is in (0, 1] or (2, 3]. Find the pr

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The following table gives the millions of metric tons of carbon dioxide emissions in a certain country for selected years from 2010 and projected to 2012 2010 2012 2014 2016 336.5 363.5 398.1 Year CO, Emissions 2018 424.8 451.1 Year 2022 2024 2026 2028 2030 Co, Emissions 559.2 591.9 628.7 665.1 707.1 2020 2032 743.7 Using x as the number of years past 2010 and y as the millions of metric tons of carbon dioxide emissions, write the equation of the linear function that models these data. (Round all numerical values to two decimal places.) Hint: Let x 0 in 2010. y(x) =
A person arrives at the side of a single lane, one way street as a car passes by. Consider this time as time 0. There is no traffic lights and no pedestrian lanes in the nearby area. He stands there watching cars pass by. The number of cars to pass by within a period of time cane be modeled using a poison distribution. Suppose the cars pass by the person at a rate of 4.5 cars per minute. Assume that the cars pass by instantaneously. what is the probability that no cars pass by him within a 2 minute window b) if the person had to guess how many cars would pass by in the next five minutes, what number should he guess? Why? c) what is the distribution for the time until the first car passes by him(time is continuous). What is the expected time until the first car passes by him?
f the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0.7, what is the probability that out of 8 newly hired people (A) 5 will still be with the company after 1 year? (B) 5 or more will still be with the company after 1 year? Round each of the calculations to three decimal places when going through the solution process.
The number N of residential homes that a fire company can serve depends on the distance r (in city blocks) that a fire engine can cover in a specified (fixed) period of time. If we assume that N is proportional to the area of a circle r blocks from the firehouse, then N = Car, where C is a constant, TT = 3.1416..., and r, a random variable, is the number of blocks that a fire engine can move in the specified time interval. For a particular fire company, C= 7, the probability distribution for r is as shown in the accompanying table, and p(r) = 0 for rs 23 and r 2 30. r 24 25 26 27 28 29 p(r) 0.05 0.20 0.30 0.25 0.15 0.05 Find the expected value of N, the number of homes that the fire department can serve. (Round your answer to two decimal places.)
A study reports data on the effects of the drug tamoxifen on change in the level of cortisol-binding globulin (CBG) of patients during treatment. With age = x and ACBG = y, summary values are n = 26, Ex; = 1613, Σ(x; − x)² = 3756.96, Ey, = 281.9, Σ(y₁ - y)² = 465.34, and Ex,y; = 16,711. (a) Compute a 90% CI for the true correlation coefficient p. (Round your answers to four decimal places.) (b) Test Ho: P = -0.5 versus H₂: p < -0.5 at level 0.05. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. O Reject Ho. There is no evidence that p < -0.5. O Fail to reject Ho. There is evidence that p < -0.5. O Fail to reject Ho. There is no evidence that p < -0.5. O Reject Ho. There is evidence that p < -0.5. (c) In a regression analysis of y on x, what proportion of variation in change of cortisol-binding globulin level could be explained by…
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If u = x1x2 + x2x3+ X3X1, then find the relative percentage error in the computation of u at x1 = 2.104, x2 1.935 and x3= = 0.845.
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Assume x is exponentially distributed with a mean of 4. Find: a.P(X=2) b.P(X<2) c.P(X>=2) d.P(2 < X < 4)