Question

a bottled water company has found in the past that 2% of their bottled wtaer doews not meet the companys high standards. as such periodic samples are taken and tested for their quality. if from the last batch a sample opf bottles of 12 bottles are taken and tested, determine the probability; carefully define the random variable of interest

Answer 1

$p=0.02,\\ \text{x ix the random variable representing}\\ \text{ the number of bottles does not meet}\\ \text{ the company's high standards.}\\ P(x)=C^{12}_{x} (0.02)^{x} (0.98)^{12-x}, x=0,1,...,12$