Chapter 6: Q. 33 (page 386)
About what percent of values lie between the second and third standard deviations (both sides)?
Short Answer
Approximately of values lies between the second and third standard deviation
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Chapter 6: Q. 33 (page 386)
About what percent of values lie between the second and third standard deviations (both sides)?
Approximately of values lies between the second and third standard deviation
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A NUMMI assembly line, which has been operating since , has built an average of cars and trucks a week. Generally, of the cars were defective coming off the assembly line. Suppose we draw a random sample of cars. Let represent the number of defective cars in the sample. What can we say about in regard to the 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.
Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and a standard deviation of seven days.
a. In words, define the random variable X.
b. X ~ _____(_____,_____)
c. If one of the trials is randomly chosen, find the probability that it lasted at least 24 days. Sketch the graph and write the probability statement.
d. Sixty percent of all trials of this type are completed within how many days?
Find the percentile.
If the area to the left of in a normal distribution is , what is the area to the right of ?
Two thousand students took an exam. The scores on the exam have an approximate normal distribution with a mean points and standard deviation points.
a. Calculate the first- and third-quartile scores for this exam.
b. The middle of the exam scores are between what two values?
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