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A system consists of 4 identical components, where at least 3 components need to work for the system to work. Each component has an equally likely chance of failing or working. Let X be the number of components that are failed.
1. Find the probability distribution for X and display it in a table.
2. Find the mean and the variance of the probability distribution for X.
3. What is the probability that the system fails?
If a member of this senior class is selected at random, find the probability that the student a) smokes but does not drink alcoholic beverages; b) eats between meals and drinks alcoholic beverages but does not smoke; c) neither smokes nor eats bet..
As a manager of an organization, what statistics would you use and why if you wanted to estimate your annual employee turnover? Be sure to specifically identify the statistical formulas and what additional data you would need to determine your est..
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Consider two independent Poisson processes, with arrival rates α and β, respectively. Determine: The probability q that the next three arrivals come from the same process The PMF of N, the number of arrivals from the ?rst process that occur before..
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