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A notice is sent to all owners of a certain type of automobile, asking them to bring their cars to a dealer o check for the presence of a particular manufacturing defect. Suppose that only 0.05%of such cars have he defect. Consider a random sample of 10,000 cars. What are the expected value and standard deviation of the number of cars in the sample that have the ffect? ) What is the (approximate) probability that more than 10 sampled cars have the defect? What is the (approximate) probability that no sampled cars have the defect?

A notice is sent to all owners of a certain type of automobile, asking them to bring their cars to a dealer o check for the presence of a particular manufacturing defect. Suppose that only 0.05%of such cars have he defect. Consider a random sample of 10,000 cars. What are the expected value and standard deviation of the number of cars in the sample that have the ffect? ) What is the (approximate) probability that more than 10 sampled cars have the defect? What is the (approximate) probability that no sampled cars have the defect?

Calculus For The Life Sciences
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.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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A notice is sent to all owners of a certain type of automobile, asking them to bring their cars to a dealer to check for the presence of a particular manufacturing defect. Suppose that only 0.05%of such cars have the defect. Consider a random sample of 10,000 cars. a) What are the expected value and standard deviation of the number of cars in the sample that have the effect? b) What is the (approximate) probability that more than 10 sampled cars have the defect? c) What is the (approximate) probability that no sampled cars have the defect?
Transcribed Image Text:A notice is sent to all owners of a certain type of automobile, asking them to bring their cars to a dealer to check for the presence of a particular manufacturing defect. Suppose that only 0.05%of such cars have the defect. Consider a random sample of 10,000 cars. a) What are the expected value and standard deviation of the number of cars in the sample that have the effect? b) What is the (approximate) probability that more than 10 sampled cars have the defect? c) What is the (approximate) probability that no sampled cars have the defect?
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