Solve the problem.

Fill in the blank. The __________ of an eventAis the event thatAdoes not occur.

Choose one answer.

A.Venn diagramB.complementC.unionD.intersection

Question

2

Answer the question True or False.

Unions and intersections cannot be defined for more than two sets, so thatABCandABCare meaningless.

Choose one answer.

A.TrueB.False

3

Letbe the density function of the continuous random variable. Findif

Answer:

Question

4

Solve the problem.

Consider the given discrete probability distribution. Find the probability thatxexceeds4.

Choose one answer.

A.0.45

B.0.7

C.0.75

D.0.3

5

Solve the problem.

A sample of 350 students was selected and each was asked the make of their automobile (foreign or domestic) and their year in college (freshman, sophomore, junior, or senior). The results are shown in the table below.

Which of the following events listed would be considered mutually exclusive events?

Choose one answer.

A.The student is a freshman and the student drives a foreign automobileB.The student is a junior and the student drives a domestic automobileC.The student is a junior and the student is a freshmanD.The student is a senior and the student drives a domestic automobile.

6

Marks: 2

Solve the problem.

The table shows the political affiliations and types of jobs for workers in a particular state. Suppose a worker is selected at random within the state and the worker's political affiliation and type of job are noted.

Political Affiliation

Given that the worker is a Democrat, what is the probability that the worker has a white collar job.

Choose one answer.

A.0.463

B.0.559

C.0.339

D.0.607

7

Letbe a discrete random variable and the possible values ofare,and. We know thatand. Find.

Answer:

Question

8

Solve the problem.

Fill in the blank. A__________ is a collection of sample points.

Choose one answer.

A.event

B.Venn diagram

.C.experiment

D.sample space

9

Answer the question True or False.

IfAandBare independent events, thenAandBare also mutually exclusive.

Choose one answer.

A.TrueB.False

Question

10

Solve the problem.

Suppose thatB₁andB₂are mutually exclusive and complementary events, such thatP(B₁)=.6 andConsider another eventAsuch thatP(A|B₁)=.2 andP(A|B₂)=.5. FindP(B₁|A).

Choose one answer.

A..625

B..375

C..240

D..800