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.
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
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Question
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
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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