11th Edition

ISBN: 9780321979438

Author: Margaret L. Lial, Raymond N. Greenwell, Nathan P. Ritchey

Publisher: PEARSON

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Chapter 10.3, Problem 26E

Medical Prognosis A study using Markov chains to estimate a patient's prognosis for improving under various treatment plans gives the following transition matrix as an example. Source: Medical Decision Making.

Chapter 10.3, Problem 26E, 26. Medical Prognosis A study using Markov chains to estimate a patient's prognosis for improving .

(a) Estimate the probability that a well person will eventually end up dead.

(b) Verify your answer to part (a) using the matrix product FR.

(c) Find the expected number of cycles dial a well patient will continue to be well before dying and the expected number of cycles that a well patient will be ill before dying.

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Chapter 10.3, Problem 25E

Chapter 10.3, Problem 27E

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Answer questions 8.2.11 and 8.2.12 respectively

8.4.2 An article in Knee Surgery, Sports Traumatology, Arthroscopy [“Arthroscopic Meniscal Repair with an Absorbable Screw: Results and Surgical Technique” (2005, Vol. 13, pp. 273–279)] showed that only 25 out of 37 tears (67.6%) located between 3 and 6 mm from the meniscus rim were healed. a. Calculate a two-sided 95% confidence interval on the proportion of such tears that will heal. b. Calculate a 95% lower confidence bound on the proportion of such tears that will heal. 8.4.3 An article in the Journal of the American Statistical Association [“Illustration of Bayesian Inference in Normal Data Models Using Gibbs Sampling” (1990, Vol. 85, pp. 972–985)] measured the weight of 30 rats under experiment controls. Suppose that 12 were underweight rats. a. Calculate a 95% two-sided confidence interval on the true proportion of rats that would show underweight from the experiment. b. Using the point estimate of p obtained from the preliminary sample, what sample size is needed to be 95%…

8.4.8 Use the data from Exercise 8.4.2 to compute the two-sided Agresti-Coull CI on the proportion of tears that heal. Compare and discuss the relationship of this interval to the one computed in Exercise 8.4.2.

Chapter 10 Solutions

Finite Mathematics (11th Edition)

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Solution Summary: The author explains the probability that a well person will end up dead. The absorbing state of the transition matrix is P_i=1.

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