MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
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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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This question is asking to calculate the probability that at least 500 out of 1000 patients admitted to the emergency room are heart related.

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