Three people have been exposed to a certain illness. Once exposed, a person has a 50-50 chance of actually becoming ill. (a) What is the probability that exactly one of the people becomes ill? (b) What is the probability that at least two of the people become ill? (c) What is the probability that none of the three people becomes ill?
Three people have been exposed to a certain illness. Once exposed, a person has a 50-50 chance of actually becoming ill. (a) What is the probability that exactly one of the people becomes ill? (b) What is the probability that at least two of the people become ill? (c) What is the probability that none of the three people becomes ill?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can you please help me with these two problems
Transcribed Image Text:Three people have been exposed to a certain illness. Once exposed, a person has a 50-50 chance of actually becoming ill.
(a) What is the probability that exactly one of the people becomes ill?
(b) What is the probability that at least two of the people become ill?
(c) What is the probability that none of the three people becomes ill?
Transcribed Image Text:Suppose that each child born is equally likely to be a boy or a girl. Consider a family with exactly three children. Let BBG indicate that the first two children born are boys and the third child is
a girl, let GBG indicate that the first and third children born are girls and the second is a boy, and so forth.
(a) Use set-roster notation to describe the elements in the sample space whose outcomes are all possible genders of the three children.
(b) Write each of the following events as a set, in set-roster notation, and find its probability.
(i) the event that exactly one child is a girl
set
probability
(ii) the event that at least two children are girls
set
probability
(iii) the event that no child is a girl
set
probability
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