Q1) Two drugs that relieve pain are available to treat patients. Drug A has been found to be effective in three quarters of all patients; when it is effective, the patients have relief from pain one hour after taking this drug. Drug B acts quicker but only works with one half of all patients: those who benefit from this drug have relief of pain after 30 mins. The physician cannot decide which patients should be prescribed which drug so he prescribes randomly. Assuming that there is no variation between patients in the times taken to act for either drug. calculate the probability that: (a) a patient is prescribed drug B and is relieved of pain; (b) a patient is relieved of pain after one hour; (c) a patient who was relieved of pain after one hour took drug A; (d) two patients receiving different drugs are both relieved of pain after one hour. (e) out of six patients treated with the same drug, three are relieved of pain after one hour and three are not.

Human Anatomy & Physiology (11th Edition)
11th Edition
ISBN:9780134580999
Author:Elaine N. Marieb, Katja N. Hoehn
Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
Section: Chapter Questions
Problem 1RQ: The correct sequence of levels forming the structural hierarchy is A. (a) organ, organ system,...
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Q1) Two drugs that relieve pain are available to treat patients. Drug A has been found to be
effective in three quarters of all patients; when it is effective, the patients have relief from pain
one hour after taking this drug. Drug B acts quicker but only works with one half of all patients:
those who benefit from this drug have relief of pain after 30 mins. The physician cannot decide
which patients should be prescribed which drug so he prescribes randomly.
Assuming that there is no variation between patients in the times taken to act for either drug.
calculate the probability that:
(a) a patient is prescribed drug B and is relieved of pain;
(b) a patient is relieved of pain after one hour;
(c) a patient who was relieved of pain after one hour took drug A;
(d) two patients receiving different drugs are both relieved of pain after one hour.
(e) out of six patients treated with the same drug, three are relieved of pain after one hour and
three are not.
Transcribed Image Text:Q1) Two drugs that relieve pain are available to treat patients. Drug A has been found to be effective in three quarters of all patients; when it is effective, the patients have relief from pain one hour after taking this drug. Drug B acts quicker but only works with one half of all patients: those who benefit from this drug have relief of pain after 30 mins. The physician cannot decide which patients should be prescribed which drug so he prescribes randomly. Assuming that there is no variation between patients in the times taken to act for either drug. calculate the probability that: (a) a patient is prescribed drug B and is relieved of pain; (b) a patient is relieved of pain after one hour; (c) a patient who was relieved of pain after one hour took drug A; (d) two patients receiving different drugs are both relieved of pain after one hour. (e) out of six patients treated with the same drug, three are relieved of pain after one hour and three are not.
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