In: Statistics and Probability
A production manager knows that 8.5% of components produced by a particular manufacturing process have some defect. Eight of these components, whose characteristics can be assumed to be independent of each other were examined. a. Write the distribution function in terms of ? and x. b. What is the probability that none of these components has a defect? c. What is the probability that two of the components have a defect? d. What is the probability that between two and seven components have a defect? e. What is the probability that at most three of the components have a defect? f. What is the probability that at least two of these components have a defect? g. What is the expected defective components and the coefficient of variation?