1.

SHOW YOUR CALCULATION WHERE APPROPIATE.At your school, 10% of the class are marketing majors. If you are randomly assigned to two partners in your statistics class,

a) What is the probability that the first partner will be a marketing major?

b) What is the probability that the first partner won't be a marketing major?

c) What is the probability that both will be marketing majors?

d) What is the probability that at least one will be a marketing major?

2.

Multigenerational families can be categorized as having two adult generations such as parents living with adult children, "skip" generation families, such as grandparents living with grandchildren, and three or more generations living in the household. Pew Research surveyed multigenerational households. This table is based on their reported results.

2 Adult Gens

2 Skip Gens

3 or More Gens

White

509

55

222

786

Hispanic

139

11

142

292

Black

119

32

99

250

Asian

61

1

48

110

828

99

511

1438

SHOW YOUR SIMPLE CALCULATION.

a) What is the probability that a multigenerational family is Hispanic?

b) What is the probability that a multigenerational family selected at random is a Black, two-adult-generation family?

c) What type of probability did you find in parts a and b?

d) What is the probability that a randomly selected Black multigenerational family is a two-adult-generation family?

e) What is the probability that a randomly selected multigenerational family is White, given that it is a "skip" generation family?

3.

U.S. Customs and Border Protection has been testing automated kiosks that may be able to detect lies (www.wired.com/threatlevel/2013/01/ff-lie-detector/all/). One measurement used (among several) is involuntary eye movements. Using this method alone, tests show that it can detect 60% of lies, but incorrectly identifies 15% of true statements as lies. Suppose that 95% of those entering the country tell the truth. The immigration kiosk asks questions such as "Have you ever been arrested for a crime?" Naturally, all the applicants answer "No," but the kiosk identifies some of those answers as lies, and refers the entrant to a human interviewer.

SHOW WORK FOR THESE.

a) Here is the outline of a probability tree for this situation. Fill in the probabilities:

b) What is the probability that a random person will be telling the truth and will be cleared by the Kiosk?

c) What is the probability that a random person will be telling a lie and will be discovered to be lying by the Kiosk?

4.

The probability model below describes the number of repair calls that an appliance repair shop may receive during an hour.Note:There are example calculations of this on pages 180 to 183 in your textbook or pages 5 to 7 of the Chapter 6 notes.

Repair Calls0123

Probability0.10.30.40.2

SHOW YOUR CALCULATIONS.

a) How many calls should the shop expect per hour?

b) What is the standard deviation?

5.

At the airport entry sites, a computer is used to randomly decide whether a traveler's baggage should be opened for inspection. If the chance of being selected is 12%, can you model your chance of having your baggage opened with a Bernoulli model? Check each of the conditions specifically.Explainyour answer.