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)

MATLAB: An Introduction with Applications
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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:

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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