Let us suppose that some article modeled the disease progression in sepsis (a systemic inflammatory response syndrome (SIRS) together with a documented infection). Both sepsis, severe sepsis and septic shock may be life-threatening. The researchers estimate the probability of sepsis to worsen to severe sepsis or septic shock after three days to be 0.11. Suppose that you are physician in an intensive care unit of a major hospital, and you diagnose four patients with sepsis. (a) What is the probability that none of the patients with sepsis gets worse in the next three days? Round your answer to five decimal places (e.g. 98.76543). P = ₁ (b) What is the probability that all of the patients with sepsis get worse in the next three days? Round your answer to five decimal places (e.g. 98.76543). P=₁ (c) What is the probability that at most two patients with sepsis get worse in the next three days? Round your answer to five decimal places (e.g. 98.76543). P = i

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Let us suppose that some article modeled the disease progression in sepsis (a systemic inflammatory response syndrome (SIRS)
together with a documented infection). Both sepsis, severe sepsis and septic shock may be life-threatening. The researchers estimate
the probability of sepsis to worsen to severe sepsis or septic shock after three days to be 0.11. Suppose that you are physician in an
intensive care unit of a major hospital, and you diagnose four patients with sepsis.
(a) What is the probability that none of the patients with sepsis gets worse in the next three days?
Round your answer to five decimal places (e.g. 98.76543).
P = i
(b) What is the probability that all of the patients with sepsis get worse in the next three days?
Round your answer to five decimal places (e.g. 98.76543).
P = i
(c) What is the probability that at most two patients with sepsis get worse in the next three days?
Round your answer to five decimal places (e.g. 98.76543).
P = i
Transcribed Image Text:Let us suppose that some article modeled the disease progression in sepsis (a systemic inflammatory response syndrome (SIRS) together with a documented infection). Both sepsis, severe sepsis and septic shock may be life-threatening. The researchers estimate the probability of sepsis to worsen to severe sepsis or septic shock after three days to be 0.11. Suppose that you are physician in an intensive care unit of a major hospital, and you diagnose four patients with sepsis. (a) What is the probability that none of the patients with sepsis gets worse in the next three days? Round your answer to five decimal places (e.g. 98.76543). P = i (b) What is the probability that all of the patients with sepsis get worse in the next three days? Round your answer to five decimal places (e.g. 98.76543). P = i (c) What is the probability that at most two patients with sepsis get worse in the next three days? Round your answer to five decimal places (e.g. 98.76543). P = i
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