Please help me, i promise to rate as HELPFUL and give a positive feedback. ?? Direction: Solve the following problems and show your solutions

11. Ten coins are tossed simultaneously. What is the probability that at least 3 of the results will be heads? 12. In a family with three children, find the probability of having: a. exactly 3 girls b. at most 2 boys c. at least 1 girl 13. Based on the records of the College of Business Administration, only 25% of their BS Accountancy students who are admitted to first year reaches fifth year. Assuming that this is correct, find the probability that from 20 randomly selected first year BS Accountancy students, a. exactly 15 will reach fifth year b. at most 9 will reach fifth year c. at least 17 will reach fifth year d. between 5 to 8 inclusive will reach fifth year Gabuyo, Y. et.al., (2016). Statistics and Probability. Paligsahan, Quezon City. 46 14. Mathematics Professor Mr. Y developed a 10-item multiple choice questions with five options in each item. If a certain student answers the questions by purely guessing, find the probability that a student will get: a. exactly 4 correct answering b. at most 3 correct answers c. at least 7 correct answers 15. Based on records, 5% of the products produced in a factory are defective. If 8 products are chose at random from a production lot, find the probability that: a. none of them is defective b. 3 of them are defective c. at most 4 of them are defective