Calculate an approximate value for the probability
The random variable X has a binomial distribution with parameters n=100 and p=0.10. What distribution model would be appropriate to use to calculate an approximate value for the probability P(X=10). Explain, calculate and show work.
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Management will become concerned if more than 10% of the widgets from a particular machine are out of tolerance. Calculate the 5th percentile and the 95th percentile to find the measurements you would use to evaluate management's concern.
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In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set.
The random variable X has a Poisson distribution with mean 40. Give an approximate value of the probability P( 37 less than or equal to X less than 41 ) using the central limit theorem with a continuity correction. Show work.
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Use the reported numbers as the population proportions and assume that samples of 300 adults and 300 youths will be used to learn about attitudes toward Internet security.
The population proportion is .30. What is the probability that a sample proportion will be within ±.04 of the population proportion for each of the following sample sizes?
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