Question 16

When A and B are mutually exclusive, P(A or B) can be found by adding P(A) and P(B).

True

False

Question 17

Customers at a popular roti shop were asked whether they preferred their roti with soft drink or juice. 69% said that they preferred their roti with soft drink. 55% of the respondents were male. 89.09% of the males preferred their roti with soft drink. Suppose a randomly selected customer prefers juice with their roti, what is the probability that the customer is male?

a

0.11

b

0.71

c

0.55

d

0.19

Question 18

According to a survey of American households, the probability that the residents own 2 cars if annual household income is over $25,000 is 80%. Of the households surveyed, 60% had incomes over $25,000 and 70% had 2 cars. The probability that the residents of a household do not own 2 cars and have an income over $25,000 a year is:

a

0.48

b

0.12

c

0.18

d

0.22

Question 19

A religious research center in a popular city conducted a study to observe the extent to which residents of the city participate in Lenten fasting. 56% percent of those surveyed were Christians. 54% of all respondents fasted for Lent of which 25.926% were not Christians. Assuming that the study was unbiased, what is the probability that a randomly selected person from this city is non-Christian?

a

0.36

b

0.44

c

0.54

d

0.26

Question 20

Suppose A and B are events where P(A) = 0.4, P(B) = 0.5 and P(A and B) = 0.1. Then P(B|A) =...?

a

0.25

b

0.05

c

0.04

d

0.2

Question 21

The random variable X denotes the number of times students at a certain university visit their Facebook page in a day. The table below gives the probability distribution of X

X

P(X = x)

0

0.001

1

0.08

2

0.03

3

0.25

4

0.209

5

0.4

6

0.03

If a student from the university is randomly selected, what is the probability that he or she visits Facebook more than 3 times a day?

a

0.25

b

0.361

c

0.639

d

0.889

Question 22

Let X represent the number of pets owned by an randomly selected USC student. Two hundred students were randomly sampled and the results below were obtained.

XP(X)08017524035

What is the probability that a randomly selected student at USC owns at least 1 pet?

a

0.6

b

0.375

c

0.4

d

0.75

Question 23

The random variable X denotes the number of times students at a certain university visit their Facebook page in a day. The table below gives the probability distribution of X

X

P(X = x)

0

0.001

1

0.08

2

0.03

3

0.25

4

0.209

5

0.4

6

0.03

If a student from the university is randomly selected, how many times a day is he or she likely to check their Facebook page? (round your answer to the nearest whole number)

a

3

b

2

c

4

d

5

Question 24

The table below provides the grade categories along with the number of students obtaining a particular grade in the last five years in a difficult English course at a Caribbean University.

Grade

Frequency

A

57

B

44

C

237

D

189

Fail

121

Based on the data, what is the probability that a currently enrolled randomly selected student will obtain a C or a D?

a

0.19

b

0.37

c

0.66

d

0.29

Question 25

A probability distribution is an equation that...

a

Assigns a value to the center of the sample space

b

Assigns a value to the variability in the sample space

c

Measures outcomes and assigns values of X to the simple events

d

Associates a particular probability of occurrence with each outcome in the sample space

Question 26

Themanager of the customer service division of a major electronics company is interested in determining whether the customers who have purchased CD players made by the company over the past 12 months are satisfied with their products. The population of interest is:

a

All the customers who have used a CD player over the past 12 months

b

All the customers who have bought a CD player made by the company and brought it for repairs over the past 12 months

c

All the customers who have bought a CD player made by the company over the past 12 months

d

All customers

e

All owners of CD players

f

All the customers who have ever bought a CD player made by the company

Question 27

Themanagement of USC would like to ascertain satisfaction levels among its student body. Data is collected via survey on the gender, age, degree program, nationality, monthly income and satisfaction levels (very satisfied, satisfied, somewhat satisfied, disappointed) of 300 students.The results of the survey seem to indicate some association between the variables Satisfaction and Degree Program. If the researchers think the degree of a student influences the level of satisfaction, then Degree Program can be called the ______ variable and Satisfaction the _____ variable.

a

Response/Dependent, Explanatory/Independent

b

Explanatory/Independent, Response/Dependent

Question 28

The classification of students by class designation (freshman, sophomore, junior and senior) is an example of:

a

A summary statistic

b

A Continuous Numerical Variable

c

An Ordinal Categorical Variable

d

A Discrete Numerical Variable

e

A Nominal Categorical Variable

Question 29

A researcher would like to study how women with children cope with the rigours of university life in Trinidad and Tobago. What is the population of the researcher's study?

a

Women with children enrolled in a university

b

Women with children

c

Women enrolled in a university in T&T

d

Women currently enrolled in a university in T&T who have one or more child in addition to women who were enrolled in a university in T&T while they had one or more child.

e

Women currently enrolled in a university in T&T with one or more child.

Question 30

Data collected on the population size of several countries in a particular year is known as:

a

Qualitative data

b

Time series data

c

Cross sectional data

d

Panel data