When completing this problem please make sure to include any…
When completing this problem please make sure to include any formulas and software output that help you find your solutions to the questions asked. When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let X = the number of defective boards in a random sample of size n = 25. a. What distribution is the best fit to model the behavior of this variable? b. Determine P(X ≤ 2). c. Determine P(X ≥ 5). d. Determine P(1 ≤ X ≤ 4). e. What is the probability that none of the 25 boards is defective? f. Calculate the expected value and standard deviation of X.
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