Pre-Calculus Pre-AP Probability Bernoulli Trials WS Name: ____________________________________________ Period: ________ Date: ___________________________ Suppose that a family has 5 children. Also, suppose that the probability of having a girl is . Find the probability that the family has the following children. 1. 2. 3. 4. 5. 6. 7. 8. Exactly 2 girls and 3 boys Exactly 3 girls and 2 boys No girls No boys At least 4 girls At least 3 boys No more than 3 boys No more than 4 girls A die is rolled 12 times. Find the probabilities of rolling the following. 9. Exactly 12 ones 10. Exactly 6 ones 11. Exactly 1 one 12. Exactly 2 ones 13. No more than 3 ones 14. No more than 1 one A coin is tossed 5 times. Find the probabilities of getting the following. 15. All heads 16. Exactly 3 heads 17. No more than 3 heads 18. At leads 3 heads 19. How do you identify a problem that involve a binomial experiment? 20. How is Pascal’s triangle used to find probabilities? According to a recent article in a business publication, only 20% of the population of the United States has never had a Big Burg hamburger at a major fast-food chain. Assume independence and find the probabilities that a random sample of 10 people produces the following data. 21. Exactly 2 people have never had a Big Burg 22. Exactly 5 people have never had a Big Burg 23. Three people or fewer have never had a Big Burg 24. Four people or more have had a Big Burg The insurance industry has found that the probability is .9 that a life insurance applicant will qualify at the regular rates. Find the probability that of the next 10 applicants for life insurance, the following number will qualify at the regular rates. 25. Exactly 10 26. Exactly 9 27. At least 9 28. Less than 8 A company gives prospective workers a 6-question, multiple choice test. Each question has 5 possible answers. Find the probabilities of getting the following results by chance. 29. Exactly 2 correct answer 30. No correct answers 31. At least 4 correct answers 32. No more than 3 correct answers 33. Over the last decade, 10% of all clients of J.K. Loss & Company have lost their life savings. Suppose a sample of 3 clients of the firm is chosen. Assuming independence, find the probability that exactly 1 of the 3 clients will lose everything. A factory tests a random sample of 20 transistors for defective transistors. The probability that a particular transistor will be defective has been established by past experience as .05. 34. What is the probability that there are no defective transistors in the sample? 35. What is the probability that the number of defective transistors in the sample is at most 2? A new drug cures 70% of the people taking it. Suppose 20 people take the drug; find the probabilities of the following. 36. Exactly 18 people are cured 37. Exactly 17 people are cured 38. At least 17 people are cured 39. At least 18 people are cured

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