1) Consider a binomial experiment with n = 20 trials and p = 0.40. a) Find the expected value and the standard deviation of the distribution. 0.38 b) It is unusual for a binomial experiment to have values that are more than 2 standard deviations away from the mean. Would it be unusual to obtain fewer than 3 successes? Explain. 2) The quality-control inspector of a production plant will reject a bath of syringes if two or more defective syringes found in a random sample of eight syringes taken from the batch. Suppose the batch contains 1% (0.01) defective 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? Find the probability of 0 or 1 defective syringes. d) Find o. (d

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1) Consider a binomial experiment with n = 20 trials and p = 0.40.
a) Find the expected value and the standard deviation of the distribution.
MAT 147: Statistics
HW 7: More Binomial Distribution
0.38
b) It is unusual for a binomial experiment to have values that are more than 2 standard deviations
away from the mean. Would it be unusual to obtain fewer than 3 successes? Explain.
2) The quality-control inspector of a production plant will reject a bath of syringes if two or
more defective syringes found in a random sample of eight syringes taken from the batch.
Suppose the batch contains 1% (0.01) defective syringes.
b) Find u. What is the expected number of defective syringes the inspector will find?
Interval
d) Find o.
c) What is the probability that the batch will be accepted? Find the probability of 0 or 1
defective syringes.
Cluster sampl
Transcribed Image Text:Name: 1) Consider a binomial experiment with n = 20 trials and p = 0.40. a) Find the expected value and the standard deviation of the distribution. MAT 147: Statistics HW 7: More Binomial Distribution 0.38 b) It is unusual for a binomial experiment to have values that are more than 2 standard deviations away from the mean. Would it be unusual to obtain fewer than 3 successes? Explain. 2) The quality-control inspector of a production plant will reject a bath of syringes if two or more defective syringes found in a random sample of eight syringes taken from the batch. Suppose the batch contains 1% (0.01) defective syringes. b) Find u. What is the expected number of defective syringes the inspector will find? Interval d) Find o. c) What is the probability that the batch will be accepted? Find the probability of 0 or 1 defective syringes. Cluster sampl
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