WRITE YOUR ANSWERS BELOW EACH QUESTION YOU DO NOT NEED TO SHOW YOUR WORK USE EXCEL OR ANY OTHER STATISTICAL PACKAGE TO PLOT THE DATA, WHERE REQUIRED NO HAND-DRAWINGS 6. A quality control engineer inspects a random sample of 6 batteries from each lot of 20 car batteries ready to be shipped. The lot contains 8 batteries with slight defects. a) What is the probability that the inspector's sample will contain none of the batteries with defects? (4 points) b) What is the probability that the inspector's sample will contain only one of the batteries with defects? (4 points) c) What is the probability that the inspector's sample will contain at least two of the batteries with defects? (4 points)