none of the electrical vehicles are defective? (ii) two or fewer of the electrical vehicles are defective? (iii) What are the mean and standard deviation of this distribution used in question? Interpret these values.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Question 1
(a)
A manufacturing company always performs the quality control on their production.
Historically, the failure rate for electrical vehicles that the company manufactures
is 3%. Suppose a random sample of 10 electrical vehicles is selected. What is the
probability that
(i)
none of the electrical vehicles are defective?
(ii) two or fewer of the electrical vehicles are defective?
(iii)
What are the mean and standard deviation of this distribution used in
question? Interpret these values.
(iv)
Can we conclude that there is more than 50% of chance that the company
manufactures non-defective electrical vehicles? Justify your answer based
on the correct answer in (i).
Transcribed Image Text:Question 1 (a) A manufacturing company always performs the quality control on their production. Historically, the failure rate for electrical vehicles that the company manufactures is 3%. Suppose a random sample of 10 electrical vehicles is selected. What is the probability that (i) none of the electrical vehicles are defective? (ii) two or fewer of the electrical vehicles are defective? (iii) What are the mean and standard deviation of this distribution used in question? Interpret these values. (iv) Can we conclude that there is more than 50% of chance that the company manufactures non-defective electrical vehicles? Justify your answer based on the correct answer in (i).
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