The hospital period, in days, for patients following treatment for a certain type ofkidney disorder is a random variable Y = X + 4, where X has the density function32x > 0(x + 4)3'0, elsewheref(x) =Find the average number of days that a person is hospitalizedtreatment for this disorder.following

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Answered: The hospital period, in days, for…

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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Answer part a of the following question. Show work. Let Y > 0 be a continuous random variable representing time from regimen start to bone-marrow transplant. Everyone does not survive long enough to get the transplant. Let X > 0 be a continuous random variable representing time from regimen start to death. We can assume X ⊥ Y and model time to death as X ∼ Exp(rate = θ) and time to transplant as Y ∼ Exp(rate = µ). Where Exp(rate = λ) denotes the exponential distribution with density f(z | λ) = λe−λz for z > 0 and 0 elsewhere - with λ > 0. a.) Compute the probability that a patient receives transplant before they pass away (die) by integrating over the joint density fxy.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of an individual. Suppose that a random sample of 45 male firefighters are tested and that they have a plasma volume sample mean of x = 37.5 ml/kg (milliliters plasma per kilogram body weight). Assume that o = 7.60 ml/kg for the distribution of blood plasma. (a) Find a 99% confidence interval for the population mean blood plasma volume in male firefighters. What is the margin of error? (Round your answers to two decimal places.) lower limit upper limit margin of error (b) What conditions are necessary for your calculations? (Select all that apply.) n is large the distribution of weights is normal o is known the distribution of weights is uniform o is unknown (c) Interpret your results in the context of this problem. The probability that this interval contains the true average…
Don't Hand writing in solution.
determine the degrees of freedom if necessary
5. Let 0 and a be parameters. Show that the family of functions fo,a(x) = I > 0 (x+0)a+1³ is a probability density function. What can you say about the mean of a random variable that has fo,a as a pdf?
In a survey of 3002 adults, 1495 say they have started paying bills online in the last year. Construct a 99% confidence interval for the population proportion. Interpret the results. A 99% confidence interval for the population proportion is ( D (Round to three decimal places as needed.) Interpret your results. Choose the correct answer below. O A. With 99% confidence, endpoints of the given confidence interval. can be said that the population proportion of adults who say they have started paying bills online in the last year is between the O B. With 99% confidence, it can be said that the sample proportion of adults who say they have started paying bills online in the last year is between the endpoints of the given confidence interval, OC. The endpoints of the given confidence interval show that adults pay bills online 99% of the time.
Question 1 {0 decimal places } Find the value of the sample mean.
E [X] = 4 and In X follows a normal distribution with a variance of 3. Express the value of E [min (X - 4, 1)] as the cumulative distribution function for the standard normal distribution.
Find the value of k which make the following function a pdf (15 y - 2 sys0 64' 64 fW) ={ 3 + ky 0 < y< 3 8 elsewhere What is the P(-1 < Y S 2)? Find the cumulative distribution function of Y. Find the variance of Y.
The life of an automotive component can be modeled by Weibull distributionα =6.2?105 and β =1.3.(i) Calculate the cumulative density function, F (t) Deming believes poor quality was not the fault of workers but as a result of poor management of systems for quality improvement.(ii) Do you agree with the statement? Why do you agree or disagree? (iii) Calculate the reliability function, R (t), and the hazard function, h (t) at the end of the rotating period of 36000 miles.
Please help. I am trying to review for a test and these practice problems are stumping me. Please no code just math :)

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