All items from a production line are tested as they are produced. Each item is classified as either defective or good. There are no other possible outcomes. Out of 1000 items recorded, the engineers found 10 on average to be defective. What is the probability that, in a random sample of 20 items, 2 or more are defective?

65% of Americans drink one coffee a day. With a random sample of 45 Americans, what is the probability that at least 80% of people drink a coffee a day?

A CNN/USA Today/Gallup poll in April 2005 reported that 75% of adult Americans were satisfied with the job the nation’s major airlines were doing. Ten adult Americans are selected at random, and the number who are satisfied with the airlines is recorded. What is the probability that 8 or more adult Americans were satisfied with the job the nation’s major airlines were doing?

A recent survey found that 60% of all adults wear sunglasses for driving. In a random sample of 10 adults, what is the probability that at least seven wear sunglasses?

College students were surveyed to check what they favored between basketball, football or baseball. The result of the survey is listed in the table below.     Favorite sports   Basketball Football Baseball Total Male 22 40 15   Female 45 12 16   Total         If three students from this group are selected at random, find the probability that All students’ favors football. Two students favor basketball and one favors baseball. None of the students favors baseball.

Approximately 70% of statistics students do their homework in time for it to be collected and graded. Each student does homework independently. In a statistics class of 50 students, what is the probability that at least 40 will do their homework on time? Students are selected randomly.   What is a “failure” in words?

A jar contains 7 poker chips: 4 blue, 2 red and 1 white. You randomly select two chips from the jar. What is the probability that your selection includes two different colored chips? Report your answer to three decimal places.