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 10years 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

The probability density function of X is f(x)=0.5e-0.5(x-3) for x>3.

Answered: An article in American Heart Journal…

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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In a bank, the drive-in window is serviced by one teller, the data analysis led to the conclusion that: Inter-arrival times: exponentially distributed with rate A = 45/hour, and Service times: Normal(1.1, 0.22). Consider that 51 be the true mean value u0 = 51. There were 6 statistically independent replications of the model, each of 2-hour duration, and as in the following table. %3D (Replication, Arrival/arrival) : (1, 50), ( 2 , 50) (3, 50) , (4 , 49), ( 5 ,49), (6 , 51) Compute the sample mean. Answer:
A research team is interested in investigating the effectiveness of a new medication intended to reduce resting heart rate (beats per minute, BPM) in overweight patients. In order to test the medication, the researcher organizes a clinical trial with participants randomly assigned to receive either the new medication or a placebo. Suppose the following table represents the heart rates for a SRS from both groups. Data for the placebo group are {71, 71, 68, 67, 68, 69, 70, 70, 69, 72, 73} Data for the treatment group are {67, 66, 64, 64, 65, 64, 59, 63, 71, 64} Sample standard deviation for the placebo group is: 1.834 Sample standard deviation for the treatment group is: 3.057 What is the confidence interval? (alpha=0.05) Group of answer choices (0.969492 to 9.266508) (2.31312 to 7.92288) (2.598132 to 7.637868) (-1.796934 to 12.032934)
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A research team is interested in investigating the effectiveness of a new medication intended to reduce resting heart rate (beats per minute, BPM) in overweight patients. In order to test the medication, the researcher organizes a clinical trial with participants randomly assigned to receive either the new medication or a placebo. Suppose the following table represents the heart rates for a SRS from both groups. Data for the placebo group are {71, 71, 68, 67, 68, 69, 70, 70, 69, 72, 73} Data for the treatment group are {67, 66, 64, 64, 65, 64, 59, 63, 71, 64} Sample standard deviation for the placebo group is: 1.834 Sample standard deviation for the treatment group is: 3.057 What is the Standard Error of the Mean Difference? (alpha=0.05) Group of answer choices 1.834 1.240 1.114 3.057
A research team is interested in investigating the effectiveness of a new medication intended to reduce resting heart rate (beats per minute, BPM) in overweight patients. In order to test the medication, the researcher organizes a clinical trial with participants randomly assigned to receive either the new medication or a placebo. Suppose the following table represents the heart rates for a SRS from both groups. Data for the placebo group are {71, 71, 68, 67, 68, 69, 70, 70, 69, 72, 73} Data for the treatment group are {67, 66, 64, 64, 65, 64, 59, 63, 71, 64} Sample standard deviation for the placebo group is: 1.834 Sample standard deviation for the treatment group is: 3.057 What is the test statistics (tstat)? (alpha=0.05) Group of answer choices 4.127 2.791 1.674 4.594
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Suppose you simulate the price path of stock HHF using a geometric Brownian motion model with µ = 0.1, o = 0.2, and time step At = 1/52 (weekly). Let St be the price of the stock at time t. If So = 100, and the first simulated (randomly selected) standard normal variable is e = -0.591, what is the simulated return over the next week? (a) -0.061 (b) -0.015 (c) 0.061 (d) -0.093
Consider the problem of diagnosing a rare disease. Let’s say the occurrence of thisdisease is one in a thousand i.e. P(D = +) = 0.001. There is a test T which correctlyidentifies the disease 99.9% of the time, i.e. P(T = +|D = +) = 0.999. However, italso has a false positive rate of 0.02, i.e. P(T = +|D = −) = 0.02 i. If a random person from the population is tested, what is the probability they willreceive a positive test, i.e. P(T = +)? ii. Given that the test is positive, what is the probability that the person has the disease,i.e. P(D = +|T = +)?
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