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

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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