A. When circuit boards used in the manufacture of compact disc players are tested, the long...

 

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A. 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, stating the underlying assumptions, answer the following questions: P(X <2). i) Determine ii) What is the probability that none of the 25 boards are defective? iii) Calculate the expected value and standard deviation of X. B. Suppose the number X of tornadoes observed in a particular region during a one-year period has a Poisson distribution with 2 =8. i. Compute P(X <5), ii. How many tornadoes can be expected to be observed during the 1-month period? What is the standard deviation of the number of observed tornadoes during 6 months period? A. 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, stating the underlying assumptions, answer the following questions: P(X <2). i) Determine ii) What is the probability that none of the 25 boards are defective? iii) Calculate the expected value and standard deviation of X. B. Suppose the number X of tornadoes observed in a particular region during a one-year period has a Poisson distribution with 2 =8. i. Compute P(X <5), ii. How many tornadoes can be expected to be observed during the 1-month period? What is the standard deviation of the number of observed tornadoes during 6 months period?