Q4. 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 %3D defective boards in a random sample of size n=25, stating the underlying assumptions, answer the following questions:

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ISBN:9781337282291
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Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Q4. 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:
NSUAssignMid2Spring2021.doc
i) Determine P(X<2)_
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?
Transcribed Image Text:Q4. 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: NSUAssignMid2Spring2021.doc i) Determine P(X<2)_ 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?
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