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Find the mean and standard deviation for given data and make a histogram under Binomial distribution.

The quality-control inspector of a production plant will reject a batch of syringes if two or more defective syringes are found in a random sample of eight syringes taken from the batch. Suppose the batch contains 1% defective syringes.

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

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