A bacterial colony of a certain type will develop resistance to antibiotic a with a probability of 0.04. , that colony will develop resistance to antibiotic b with probability 0.08 (independently). Decided to treat a patient suffering from an infection of the bacteria described with the help of the 2 antibiotics. What is the chance that the treatment will help?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 14E
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A bacterial colony of a certain type will develop resistance to antibiotic a with a probability of 0.04. , that colony will develop resistance to antibiotic b with probability 0.08 (independently). Decided to treat a patient suffering from an infection of the bacteria described with the help of the 2 antibiotics. What is the chance that the treatment will help?
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Calculus For The Life Sciences
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,