1. A Washington-based nonprofit research group recently released a report indicating that 60% of government workers acknowledge witnessing violations of ethical standards, policies, or laws in the past year, 40% of which went unreported. An additional 10% of government workers acknowledged making false reports of violations of ethical standards, policies or laws when they did not actually occur.

What is the probability a randomly selected government worker witnessed a violation of ethical standards, policies or laws in the past year and reported it?

2.The results of a company ballot showed that 45% of the managers favored the proposed measure on a new bonus plan. 40% of the company's female employees favored the plan, half of whom are managers.

What percent of the company's employees favored the plan?

3.A Washington-based nonprofit research group recently released a report indicating that 60% of government workers acknowledge witnessing violations of ethical standards, policies, or laws in the past year, 40% of which went unreported. An additional 10% of government workers acknowledged making false reports of violations of ethical standards, policies or laws when they did not actually occur.

Given a government worker witnessed a violation of ethical standards, policies or laws in the past year, what is the probability they reported it?

4.Approximately 25% of the adult population is allergic to pets with fur or feathers, but only 4% of the adult population has a food allergy. A quarter of those with food allergies also have pet allergies.

Given a person has food allergies, what is the probability they are also allergic to pets?

5.Of the 50 students in an undergraduate statistics class, 60% send email and/or text messages during any given lecture. They have a 50/50 chance of being caught by their professor, who is not amused by such unprofessional conduct. The eagle-eyed professor never charges an innocent student.

What is the probability a student does not send an email and/or text message during lecture?

6.A medical study investigated the effect of calcium and vitamin supplements on the risk of older Americans for broken bones. A total of 389 older Americans who lived at home and were in good health were studied over a three-year period. While all of the 389 people took in at least 700 milligrams of calcium and 200 units of vitamin D through their normal diet, 187 of them were given additional supplements containing 500 milligrams of calcium citrate and 70 units of vitamin D daily. Of the 187 who took additional supplements, 11 of them suffered broken bones over the three-year period. Of the 202 older Americans who did not take the additional supplement, 26 of them suffered broken bones over the study period.

What fraction of older Americans who were included in the study suffered broken bones during the three-year period?