1.If two people are asked to list their choices of favorite carcolor from among blue (b), red (r), and yellow (y), list the sample space showing the possible outcomes.

Choose the correct answer below.

A.

(b,b), (r,r), (y,y)

B.

(b), (r), (y)

C.

(b,b), (b,r), (b,y), (r,b), (r,r), (r,y), (y,b), (y,r), (y,y)

D.

(b,r), (b,y), (r,b), (r,y), (y,b), (y,r)

2.When things are operatingproperly, a certain Internet bank can process a maximum of 28 electronic transfers every minute during the busiest periods of the day. If it receives more transfer requests thanthis, then thebank's computer system will become so overburdened that it will slow to the point that no electronic transfers can be handled. If during the busiest periods of the day requests for electronic transfers arrive at the rate of 180 per10-minute period onaverage, what is the probability that the system will be overwhelmed byrequests? Assume that the process can be described using a Poisson distribution.

The probability that the system will be overwhelmed by requests is ?????????.

3.A notebook computer dealer mounts a new promotional campaign. Purchasers of new computersmay, if dissatisfied for anyreason, return them within 2 days of purchase and receive a full refund. The cost to the dealer of such a refund is $75. The dealer estimates that 14% of all purchaserswill, indeed, return computers and obtain refunds. Suppose that 70 computers are purchased during the campaign period. Complete parts a. and b. below.

a. Find the mean and the standard deviation of the number of these computers that will be returned for refunds.

Themean, , is ???????.

(Round to one decimal place asneeded.)

The standarddeviation, , is ???????.

(Round to one decimal place asneeded.)

b. Find the mean and standard deviation of the total refund cost that will accrue as a result of these 70 purchases.

Themean, , is $??????

(Round to two decimal places asneeded.)

The standarddeviation, , is $??????

(Round to two decimal places asneeded.)

4.Because of badweather, the number of days next week that the captain of a charter fishing boat can leave port is uncertain. Let x=number of days that the boat is able to leave port per week. The probability distribution shown to the right for thevariable, x, was determined based on historical data when the weather was poor. Based on the probabilitydistribution, what is the expected number of days per week the captain can leaveport?

x

P(x)

0

0.05

1

0.10

2

0.10

3

0.20

4

0.25

5

0.15

6

0.10

7

0.05

Find the expected number of days per week the captain can leave port.