Finite math (30 question) | Mathematics homework help

QUESTION 1

The following table gives the number of people killed in rollover crashes in various types of vehicles in 2002:

Types of VehiclesCarsPickupsSUVsVansDeaths472026602195684

If a fatality due to a rollover crash in 2002 is picked at random, what is the probability that the victim was in a pickup or an SUV?

a.0.52

b.0.37

c.0.47

d.0.40

e.0.55

1 points

QUESTION 2

The sample space associated with an experiment is given by S = { a, b, c}, where P( a) = . , P(b) = ., P(c) = ..
a.The statement is correct

b.The statement is incorrect

1 points

QUESTION 3

A time study was conducted by the production manager of Universal Instruments to determine how much time it took an assembly worker to complete a certain task during the assembly of its Galaxy home computers. Results of the study indicated that 25% of the workers were able to complete the task in less than 3 minutes, 55% of the workers were able to complete the task in 4 minutes or less, and 15% of the workers required more than 5 minutes to complete the task.

If an assembly-line worker is selected at random from this group, what is the probability that the time taken for the worker to complete the task will be between 3 and 4 min (inclusive)?

a.

b.

c.

d.

1 points

QUESTION 4

Let E and F be two events that are mutually exclusive and suppose P( E) = .4 and P( F) = .2. Compute P( E ∩ F).
a.0.4

b.0.5

c.0.9

d.0

1 points

QUESTION 5

Joanne, a high school senior, has applied for admission to four colleges, A, B, C, and D. She has estimated that the probability that she will be accepted for admission by A, B, C, and D is 0.45, 0.27, 0.11, and 0.09, respectively. Thus, the probability that she will be accepted for admission by at least one college is .

a.The statement is incorrect

b.The statement is correct

1 points

QUESTION 6

The following table gives the number of people killed in rollover crashes in various types of vehicles in 2002:

Types of VehiclesCarsPickupsSUVsVansDeaths438126622445684
If a fatality due to a rollover crash in 2002 is picked at random, what is the probability that the victim was in a car?

a.0.33

b.0.51

c.0.43

d.0.48

e.0.36

1 points

QUESTION 7

Mark Owens, an optician, estimates that the probability that a customer coming into his store will purchase one or more pairs of glasses but not contact lenses is .25, and the probability that he will purchase one or more pairs of contact lenses but not glasses is .40. Hence, Owens concludes that the probability that a customer coming into his store will purchase neither a pair of glasses nor a pair of contact lenses is .20.

a.The statement is correct

b.The statement is incorrect

1 points

QUESTION 8

The sample space associated with an experiment is given by . The events and are mutually exclusive. Hence, the events Ec and F c are mutually exclusive.

a.The statement is incorrect

b.The statement is correct

1 points

QUESTION 9

In a poll conducted among likely voters by Zogby International, voters were asked their opinion on the best alternative to oil and coal. The results are as follows:

SourceNuclearWindFuel
cellsBiofuelsSolarother/
no answerRespondents, %14.315.43.424.728.513.7
What is the probability that a randomly selected participant in the poll mentioned wind or solar energy sources as the best alternative to oil and coal? Round answer to two decimal places.

a.0.39

b.0.44

c.0.49

d.0.15

e.0.29

1 points

QUESTION 10

In a survey conducted to see how long Americans keep their cars, 2,000 automobile owners were asked how long they plan to keep their present cars. The results of the survey follow:

Years Car Is Kept, xRespondents0 ≤ x < 1401 ≤ x < 34203 ≤ x < 53805 ≤ x < 73607 ≤ x < 10220x ≥10580
Find the probability distribution associated with these data and answer the question.

What is the probability that an automobile owner selected at random from those surveyed plans to keep his or her present car less than seven years?

a.0.73

b.0.60

c.0.63

d.0.71

1 points

QUESTION 11

An experiment consists of selecting a card at random from a 52-card deck. Find the probability of the event that a heart or a ace is drawn.

a.

b.

c.

d.

1 points

QUESTION 12

A leading manufacturer of kitchen appliances advertised its products in two magazines: Good Housekeeping and the Ladies Home Journal. A survey of 500 customers revealed that 130 learned of its products from Good Housekeeping, 120 learned of its products from the Ladies Home Journal, and 90 learned of its products from both magazines.

What is the probability that a person selected at random from this group saw the manufacturer’s advertisement in both magazines?
a.

b.

c.

d.

1 points

QUESTION 13

In a survey conducted in November 2002 of 1,400 international business travelers concerning in-flight service over the past few years, the following information was obtained.

Comments on Quality of ServiceRespondentsHas remained the same from two years ago.630Has diminished over that time frame.413Has improved over that time frame.329Weren’t sure.28

If a person in the survey is chosen at random, what is the probability that he or she has rated the in-flight service as remaining the same or improved over the time frame in question?

a.0.665

b.0.695

c.0.655

d.0.675

e.0.685

1 points

QUESTION 14

Among 1,000 freshmen pursuing a business degree at a university, 520 are enrolled in an Economics course, 490 are enrolled in a Mathematics course, and 290 are enrolled in both an Economics and a Mathematics course.

What is the probability that a freshman selected at random from this group is enrolled in exactly one of these two courses?

a.0.43

b.0.56

c.0.69

d.0.30

e.0.82

1 points

QUESTION 15

Let E and F be two events of an experiment with sample space S. Suppose P( E) = 0.7, P( F) = 0.4, and P( E ∩ F) = 0.2.

Compute P( Fc).

a.0.5

b.0.4

c.0.7

d.0.3

e.0.6

1 points

Two

QUESTION 1

Assume that the probability of a boy being born is the same as the probability of a girl being born. Find the probability that a family with five children will have at least one boy .

a.1

b.

c.

d.

e.

1 points

QUESTION 2

In the game of blackjack, a 2-card hand consisting of an ace and a face card or a 10 is called a blackjack.

If a player is dealt 2 cards from a standard deck of 52 well-shuffled cards, what is the probability that the player will receive a blackjack? If a player is dealt 2 cards from 2 well-shuffled standard decks, what is the probability that the player will receive a blackjack?

a.0.0239, 0.0030