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Statistics - Binomial Distribution - Additional Properties

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The quality control inspector of a production plant will reject a batch of syringes if 2 or more defective syringes is found in a random sample of 8 syringes taken from the batch. Suppose the batch 1% defective syringes.

a. Make a histogram showing the probabilities of r = 0,1,2,3,4,5,6,7 or defective syringes in a random sample of 8 syringes.

b. Find u. What is the expected number of defective syringes the inspector will find?

c. What is the probability that the batch will be accepted?

d. Find o.

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