1. Specify the type of bias involved for the following:

a)(2 points)A university conducted a survey in which faculty interviewed students to ask about the percentage of times that they wash their hands after using the bathroom. Faculty reported that 98% of the students interviewed said that they wash their hands every time they use the bathroom.

b)(2 points)A student gets a good grade on a test and tells herself that she studied hard or is good at the material. She gets a bad grade on another test and says the teacher does not like her or the test was unfair.

c)(2 points) An international company surveys a sample of 1000 managers and polls them about their workload. Out of 78 completed surveys, 72 of them stated that their workload is below their expectation.

1. In a statistics class of 50 students, there were 22 men and 28 women. Nine of the men and thirteen of the women received an A in the course. A student is chosen at random from the class.

a)(1 points)Find the probability that the student did not receive an A.

b)(2 points)Find the probability that the student is a man or received an A.

c)(2 points)Find the probability that the student did not receive an A, given that the student is a woman.

1. The Student Council at a certain school has 13 members. Four members will form an executive committee consisting of a president, a vice president, a secretary, and a treasurer.

a)(3 points)In how many ways can these four positions be filled?

b)(3 points)What is the probability that Sarah, Josh, Derek, and Kelly are the four committee members?