A bottled water company has found in the past that 2% of their bottled water does not meet the company’s high standards. As such periodic samples are taken and tested for their quality. If from the last batch a sample of 12 bottles are taken and tested, determine the probability: ii. What is the probability distribution? State the values of the parameters  iii. Justifying the suitability of the probability distribution identified in part (ii) iv. Calculate the probability that at most 2 bottles do not meet the company’s Standards  v. The expected number of bottles that do not meet the company’s standards.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
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A bottled water company has found in the past that 2% of their bottled water does not
meet the company’s high standards. As such periodic samples are taken and tested for
their quality. If from the last batch a sample of 12 bottles are taken and tested, determine
the probability:
ii. What is the probability distribution? State the values of the parameters 
iii. Justifying the suitability of the probability distribution identified in part (ii)
iv. Calculate the probability that at most 2 bottles do not meet the company’s
Standards 
v. The expected number of bottles that do not meet the company’s standards.

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