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An article in American Heart Journal ["Long-term survival after successful in-hospital cardiac arrest resuscitation" (2007, Vol 153(5). pp. 832-836)] examined long-term survival of patients after in-hospital cardiac arrest. In this study, outcomes of 732 patients over 10 years were analyzed. Suppose that the probability density function of patient mortality after in-hospital cardiac arrest (in years) follows f(x) = 0.5e-03(x-3) for x > 3. Let a continuous random variable X denote patient mortality after in-hospital cardiac arrest (in years). (a) What are the mean and the variance of X? E(X)= V(X) = 4 (b) Determine the probability that X is more than nine years. Round your answer to three decimal places (e.g. 0.987). P(X> 9) = 1

An article in American Heart Journal ["Long-term survival after successful in-hospital cardiac arrest resuscitation" (2007, Vol 153(5). pp. 832-836)] examined long-term survival of patients after in-hospital cardiac arrest. In this study, outcomes of 732 patients over 10 years were analyzed. Suppose that the probability density function of patient mortality after in-hospital cardiac arrest (in years) follows f(x) = 0.5e-03(x-3) for x > 3. Let a continuous random variable X denote patient mortality after in-hospital cardiac arrest (in years). (a) What are the mean and the variance of X? E(X)= V(X) = 4 (b) Determine the probability that X is more than nine years. Round your answer to three decimal places (e.g. 0.987). P(X> 9) = 1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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An article in American Heart Journal ["Long-term survival after successful in-hospital cardiac arrest resuscitation" (2007, Vol 153(5). pp. 832-836)] examined long-term survival of patients after in-hospital cardiac arrest. In this study, outcomes of 732 patients over 10 years were analyzed. Suppose that the probability density function of patient mortality after in-hospital cardiac arrest (in years) follows /(x) = 0.5e-05(x-3) for x > 3. Let a continuous random variable X denote patient mortality after in-hospital cardiac arrest (in years). (a) What are the mean and the variance of X? E(X)= V(X) = i (b) Determine the probability that X is more than nine years. Round your answer to three decimal places (e.g. 0.987). P(X> 9) = i
Transcribed Image Text:An article in American Heart Journal ["Long-term survival after successful in-hospital cardiac arrest resuscitation" (2007, Vol 153(5). pp. 832-836)] examined long-term survival of patients after in-hospital cardiac arrest. In this study, outcomes of 732 patients over 10 years were analyzed. Suppose that the probability density function of patient mortality after in-hospital cardiac arrest (in years) follows /(x) = 0.5e-05(x-3) for x > 3. Let a continuous random variable X denote patient mortality after in-hospital cardiac arrest (in years). (a) What are the mean and the variance of X? E(X)= V(X) = i (b) Determine the probability that X is more than nine years. Round your answer to three decimal places (e.g. 0.987). P(X> 9) = i
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