Microsoft Word - HW 2 - ECI 114.docx A quality control study in the Trader Joe's distribution center showed that 1.2% of all frozen bags of broccoli...

Microsoft Word - HW 2 - ECI 114.docx

A quality control study in the Trader Joe’s distribution center showed that 1.2% of all frozen bags of broccoli were contaminated. An immediate recall is performed on many thousands of broccoli bags that have been sold at the Davis location, and they are collected and examined for contamination before they are returned to customers. Define (for the 3 questions bellows) the random variable of interest, name its distribution and give the appropriate pmf (in equation form), as well as answering the questions.

(a) In a sample of 100 recalled bags, what is the probability of getting at least 2 contaminated items?

(b) What is the probability that every single bag from the 100 item sample will have to be examined for 1 contaminated item to be found?

(c) What is the expected number of bags that will have to be examined before a contaminated item is found?

A quality control study in the Trader Joe’s distribution center showed that 1.2% of all frozen bagsof broccoli were contaminated. An immediate recall is performed on many thousands of broccoli...