Suppose 2000 widgets are produced per hour by a machine and when the machine is operating under normal conditions, it is expected that 2 of the 2000 will be defective. Find the probabilities of the following events: a. None of the widgets that are produced over the next hour are defective b. Exactly 1 widget that is produced over the next hour is defective c. More than 2 widgets that are produced over the next 2 hours are defective
Suppose 2000 widgets are produced per hour by a machine and when the machine is operating under normal conditions, it is expected that 2 of the 2000 will be defective. Find the probabilities of the following events: a. None of the widgets that are produced over the next hour are defective b. Exactly 1 widget that is produced over the next hour is defective c. More than 2 widgets that are produced over the next 2 hours are defective
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
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 10E
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Question
Suppose 2000 widgets are produced per hour by a machine and when the machine is operating under normal
conditions, it is expected that 2 of the 2000 will be defective. Find the probabilities of the following
a. None of the widgets that are produced over the next hour are defective
b. Exactly 1 widget that is produced over the next hour is defective
c. More than 2 widgets that are produced over the next 2 hours are defective
d. Less than 10 widgets that are produced over the next 4 hours are defective
You may use either the binomial or poisson distribution to answer this question.
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