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5) Suppose 40% of all patients admitted to an emergency room are heart related patients. In a sample of 1000 patients, find the probability that at least 500 patients are heart related patients. approximately

5) Suppose 40% of all patients admitted to an emergency room are heart related patients. In a sample of 1000 patients, find the probability that at least 500 patients are heart related patients. approximately

MATLAB: An Introduction with Applications
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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5) Suppose 40% of all patients admitted to an emergency room are heart related patients. In a sample of 1000 patients, find the probability approximately that at least 500 patients are heart related patients. Let X = # of patients (out of 1000) admitted due to heart related disease Then X ~ binomial (1000, 0.40) Based on normal approximation X~ N(np, √np(1-p)) Mean np = 1000 * 0.40 = 400 St.Dev. √np(1-p) = √1000 * 0.0.40 * 60 = 15.49 Thus, X N(400, 15.49) P(X ≥ 500) ≈ P(X≥ 499.5) - continuity correction = normcdf(low-499.5, high-1000, mean-400, sig-15.49) = 6.69 * 10-11 0
Transcribed Image Text:5) Suppose 40% of all patients admitted to an emergency room are heart related patients. In a sample of 1000 patients, find the probability approximately that at least 500 patients are heart related patients. Let X = # of patients (out of 1000) admitted due to heart related disease Then X ~ binomial (1000, 0.40) Based on normal approximation X~ N(np, √np(1-p)) Mean np = 1000 * 0.40 = 400 St.Dev. √np(1-p) = √1000 * 0.0.40 * 60 = 15.49 Thus, X N(400, 15.49) P(X ≥ 500) ≈ P(X≥ 499.5) - continuity correction = normcdf(low-499.5, high-1000, mean-400, sig-15.49) = 6.69 * 10-11 0
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