# Problem 1. A box contains nine tickets labeled with numbers. The number on the tickets are -10, -10, -9, -4, 0, 3, 5, 8, 8.

The expected value of X is (Q9)

The standard error of X is (Q10)

Problem 4. Suppose I plan to drive across the San Francisco Bay Bridge from Berkeley, park at a parking facility near the San Francisco airport (SFO), then take a parking shuttle from the parking facility to the airport departure terminal. There is a 60% chance that the Bay Bridge will be congested with traffic. If it is, it will take 1.2 hours to drive to the parking facility. If not, it will take 40 minutes to drive to the parking lot. The parking shuttle takes 10 minutes to get to the airport departure terminal from the parking lot. Suppose it is equally likely that I must wait 0, 1, 2, 3, 4, 5, 6, 7, 8 or 9 minutes for the parking shuttle once I arrive at the parking lot, and that the amount of time I must wait for the parking shuttle is independent of the time it takes me to drive to the parking lot from Berkeley.

The expected value of the time it takes to drive from Berkeley to the airport parking lot is (Q11)  minutes.

The standard error of the time it takes to drive from Berkeley to the airport parking lot is (Q12)  minutes.

The expected value of the waiting time for a parking shuttle is (Q13)  minutes.

The standard error of the waiting time for a parking shuttle is (Q14)  minutes.

The expected time it takes to get from Berkeley to the San Francisco airport by driving and taking the parking shuttle is (Q15)  minutes.

The standard error of the time it takes to get from Berkeley to the San Francisco airport by driving and taking the parking shuttle is (Q16)  minutes.

Problem 5. A group of students consists of four people in all; two women and two men. They agree to take turns taking notes in lecture. One person at a time will be selected at random from the group (without replacement) until everyone has had a turn.

The expected value of the number of people selected before and including the first time a woman has a turn is (Q17)  .

The standard error of the number of people selected before and including the first time a woman has a turn is (Q18)  .

Problem 6. A population of 900 voters contains 342 Republicans, 477 Democrats, and 81 independents and members of other parties. A simple random sample of 90 voters will be drawn from this population. The expected number of Republicans in the sample is (Q19)  .

The standard error of the number of Republicans in the sample is (Q20)  .