Textbook ExpertVerified Tutor
6 Nov 2021
Given information
Given that a NUMMI assembly line, which has been operating since 1984, has built an average of 6,000 cars and trucks a week. Generally, 10% of the cars were defective coming off the assembly line. Suppose we draw a random sample of n = 100 cars. Let X represent the number of defective cars in the sample. Then we have to analyze and say about X in regard to the 68-95-99.7 empirical rule (one standard deviation, two standard deviations, and three standard deviations from the mean are being referred to). Assume a normal distribution for the defective cars in the sample.
Step-by-step explanation
Step 1.
According to the given information, represent the number of defective cars in the sample.
Then ~
where n=100, p=0.1 then q=1-p=1-0.1=0.9
As n is large, np and nq>5 Normal approximation used.
So mean
and standard deviation
So ~
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