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The number of computer interruptions per day at a plant has (at least approximately) a Poisson distribution. Last year, in the 366 days of operation of the plant, there were only 10 days with no computer interruptions. What was the average (mean) number of interruptions per day ? How many interruptions were there in all during the year ?
A statistics professor would like to determine whether students in the class showed improved performance on the final exam as compared to the midterm examination.
What is the characteristic function of N? What is the mean and variance of N? What is the pmf of N? What is the probability that N is an even number?
What is the probability of a fatal accident over a lifetime? Explain your reasoning carefully. Hint: Assume independent events. Why might the assumption of independence be violated?
Use suitable one or two sided test for null hypothesis of no difference in them then changes rating between groups at 0.10 significance level.
In large accounting firm, the proportion of accountants with MBA degrees and at least five years of professional experience is 0.75 times the proportion of accountants with no MBA degree and less than 5 years of professional experience.
According to the National Association of Homebuilders, the average life expectancies of a dishwasher and a garbage disposal are about the same: 10 years.
Toby's trucking company determined that the distance traveled per truck per year is normally distrinuted, with a mean of 50.0 thousand miles and a standard deviation of 12.0 thousand miles.
What is the probability that the sample proportion,p^ , will be within ± 3 percentage points of the true p, i.e., Pr{0.42 ≤p^ ≤ 0.48}?
A standard deviation of 4.0 days; and 12 employees were absent more than 10 days. Set up a 95% confidence interval estimate of the average number of days absent for the company's workers last year.
Suppose that verbal scores on SAT exam have a normal distribution with a population mean 500 points and population standard deviation of 100.
When finding percentiles, if locator L is not whole number, one procedure is to interpolate so that locator of 23.75, for instance.
The 30 members of an orchestra were asked how many instruments each could play. The results are set out in the frequency distribution. Calculate the mean number of instruments played:
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