Give an approximate value of the probability
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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What is the probability that a randomly selected family owns both a dog and a cat? What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?
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.
Give an 80% confidence interval for the total number of signatures. How (if at all) does the non-normality of the Number of signatures (with a greatest frequency at the upper end - 42) affect your answer?
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 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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How should you calculate confidence interval using quantiles from a t-distribution and with how much degree of freedom? Is it approprait to use in calculating the confidence of interval quantiles from a normal distribution?Explain and show work.
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.
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