6. A large group of people is to be checked for two common symptoms of a certain disease. It is thought that 20% of the people possess symptom A alone, 30% possess symptom B alone, 10% possess both symptoms, and the remainder have neither symptoms. For one person chosen at random from this group, find these probabilities (a) The person has neither symptom. (b) The person has at least one symptom. (c) The person has both symptoms given that the person has symptom R

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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6. A large group of people is to be checked for two common symptoms of a certain disease. It is thought
that 20% of the people possess symptom A alone, 30% possess symptom B alone, 10% possess both
symptoms, and the remainder have neither symptoms. For one person chosen at random from this
group, find these probabilities
(a) The person has neither symptom.
(b) The person has at least one symptom.
(c) The person has both symptoms, given that the person has symptom B.
Transcribed Image Text:6. A large group of people is to be checked for two common symptoms of a certain disease. It is thought that 20% of the people possess symptom A alone, 30% possess symptom B alone, 10% possess both symptoms, and the remainder have neither symptoms. For one person chosen at random from this group, find these probabilities (a) The person has neither symptom. (b) The person has at least one symptom. (c) The person has both symptoms, given that the person has symptom B.
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