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Quality Assurance and Binomial Distribution

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John Rengel is the Quality Assurance Supervisor for Vino Supremo Vinyards. He knows that 10 percent of each box of corks is undersized.

a) If he were to randomly select 120 corks from the next box, then how many of these corks would John expect to be undersized?

b) If he were to randomly select 120 corks from each box, then what would John calculate as the standard error of the number of undersized corks?

c) What is the probability that John will find 15 or more corks defective in a randomly selected box?

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a) If he were to randomly select 120 corks from the next box, then how many of these corks would John expect to be undersized?
n=120
Proportion of the defective corks=p=10%=0.1
Expected number of undersized corks=n*p=120*0.2=12

b) If he ...

Solution Summary

Solution describes the steps to find out expected value, standard error and desired probability value in the given case.

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3. John Rengel is the Quality Assurance Supervisor for Vino Supremo Vinyards. He knows that 10 percent of each box of corks is undersized.
a) If he were to randomly select 120 corks from the next box, then how many of these corks would John expect to be undersized?
b) If he were to randomly select 120 corks from each box, then what would John calculate as the standard error of the number of undersized corks?
c) What is the probability that John will find 15 or more corks defective in a randomly selected box?

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