I need check solve this questions of Statistics and probability

261 271 28 QUESTION 21 A quality control inspector knows that the items she inspects have at most two types of defects: Type A and Type B. Past experience has shown that P(A)=4.17%, P(B)=4%, and P(A and B)=1.14%. If an item is selected at random what is the places. probability that it has a defect type A but it does not have a defect type B? Round your answer to three decimal 0.030 QUESTION 27 A small firm organizes a raffle for its customers with 200 tickets. Each ticket costs 13 AED and the winner will get a voucher with a value of 5000 AED. What is the expected value of the gain if a customer purchases one ticket? 12 QUESTION 28 Following contingency table represents all engineering workers employed by a company. Mechanical Electrical Biomedical Male 15 15 9 Female 22 28 12 One engineer is randomly selected. What is the probability that this employee is a mechanical or he is a male. Round your answer to three decimal places. 0.604 QUESTION 29 The age distribution of students at a community college is given below: Age(years) Number of students (f) Under 21 391 21 - 25 264 26 - 30 155 31 - 35 66 Over 35 21 A student from the community college is selected at random. Find the probability that the age of this student is between 21 and 25 or between 26 and 30 or between 31 and 35. Round your answer to three decimal places. 0.541 QUESTION 30 At a certain car dealership , the probability that a costumer purchases an SUV is 0.20 and the probability that a costumer purchases a black SUV is 0.13. Given that the costumer purchases an SUV, what is the probability that is black? Round your answer to two decimal places. 0.65