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: i. Carefully defining the random variable of interest ii. What is the probability distribution? State the values of the parameters iii. Justifying the suitability of the probability distribution identified in part (ii)
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: i. Carefully defining the random variable of interest ii. What is the probability distribution? State the values of the parameters iii. Justifying the suitability of the probability distribution identified in part (ii)
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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
i. Carefully defining the random variable of interest
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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