What do you mean by dependent and independent events? Fit one simple real-life example, which really reflect the concepts of dependent and independent events. A quality control engineer inspects a random sample of three batteries from each lot of 30 car batteries, which is ready to be shipped. If such a lot contains ten batteries with slight defects, what then is the probability that the inspector's sample contain None of the batteries with slight defects? At least one of the batteries with slight defects?

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
Section12.2: Introduction To Probability
Problem 81E: The following description of the classic Linda Problem appeared in the New Yorker. In this...
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Q#03:
a. What do you mean by dependent and independent events? Fit one simple real-life example,
which really reflect the concepts of dependent and independent events.
b. A quality control engineer inspects a random sample of three batteries from each lot of 30 car
batteries, which is ready to be shipped. If such a lot contains ten batteries with slight defects,
what then is the probability that the inspector's sample contain
i. None of the batteries with slight defects?
ii. At least one of the batteries with slight defects?
c. The probability that a bomber hits its target on any particular run is .80. If three bombers are
sent after the same target, what then is the probability that at least one of the three bombers will
hit the target?
Solution#03 (to be typed here by the student)
Transcribed Image Text:Q#03: a. What do you mean by dependent and independent events? Fit one simple real-life example, which really reflect the concepts of dependent and independent events. b. A quality control engineer inspects a random sample of three batteries from each lot of 30 car batteries, which is ready to be shipped. If such a lot contains ten batteries with slight defects, what then is the probability that the inspector's sample contain i. None of the batteries with slight defects? ii. At least one of the batteries with slight defects? c. The probability that a bomber hits its target on any particular run is .80. If three bombers are sent after the same target, what then is the probability that at least one of the three bombers will hit the target? Solution#03 (to be typed here by the student)
Q#04:
a. Define Bayes' rule and explain its role in mechanical engineering.
b. A manufacturing firm finds that 70% of its new hires turn out to be good workers and 30% turn
out to be poor workers. All current workers are advised to qualify a reasoning test. Of the good
workers, 80% pass it and 40% of the poor workers pass it. If the company makes the reasoning
test be a part of its hiring procedure, what then is the probability of the new hires that will turn out
to be;
į. Good workers?
ii. Poor workers?
iii. Depict the above probabilities on the Bayes' tree diagram.
Solution#04 (to be typed here by the student)
----▬▬------------
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Transcribed Image Text:Q#04: a. Define Bayes' rule and explain its role in mechanical engineering. b. A manufacturing firm finds that 70% of its new hires turn out to be good workers and 30% turn out to be poor workers. All current workers are advised to qualify a reasoning test. Of the good workers, 80% pass it and 40% of the poor workers pass it. If the company makes the reasoning test be a part of its hiring procedure, what then is the probability of the new hires that will turn out to be; į. Good workers? ii. Poor workers? iii. Depict the above probabilities on the Bayes' tree diagram. Solution#04 (to be typed here by the student) ----▬▬------------ ----------
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