A quality controller finds three types of defects with a particular product in a company

A quality controller finds three types of defects with a particular product in a company. Based on her experiences, she expects percentages of these defects as 7, 8, and 9, for type 1, 2, and 3 defects, respectively. Also, the probability of defects for both types 1 and 2 is 0.03, for types 2 and 3 is 0.04, and for types 1 and 3 is 0.02. In addition, the quality controller finds that all the three types of defects occur 1% of the time. Using this informa- tion, answer the following questions: i. What is the probability that the quality controller experiences any type of defects? ii. What is the probability that the quality controller experiences only one type of defect? iii. What is the probability that the quality controller experiences only two types of defects? iv. What is the probability that the quality controller does not experience any type of defects? V. What is the probability that the quality controller observes type 1 and 2 defects but not type 3 defect?