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Chapter 02 - Probability

W E B Q U I Z : Devore, Probability and Statistics for Engineering & the Sciences Chapter 2

QUIZ

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________ refers to the study of randomness and uncertainty.

a. Variable

b. Probability

c. Sample space

d. Mean

If a package of light bulbs contains two bulbs, what is the sample space of outcomes for the package of two bulbs if w represents that the light bulb works and f represents that the light bulb does not work (i.e. failed)?

From the package of light bulbs that contains two bulbs, what is the event that both bulbs function correctly if w represents that the light bulb works and f represents that the light bulb does not work (i.e. failed)?

Suppose the sample space of an experiment examining the gender of individuals on a committee of three people is . What is the event that at least two of the individuals on the committee are male, where M represents male and F represents female?

Which of the following is the definition of the intersection of two events R and S?

a. The intersection is the event consisting of all outcomes that are not in R or in S.

b. The intersection is the event consisting of all outcomes in either R or in S or in both R and S.

c. The intersection is the event consisting of all outcomes that are not in both R and S.

d. The intersection is the event consisting of all outcomes that are in both R and S.

Which of the following is represented in the figure below?

d. Mutually exclusive events

Suppose the probability of drawing a blue marble is from a bag that contains three marbles. The sample space is . What is the probability of drawing either a yellow or red marble on a single draw?

d. It cannot be determined from the information given.

Choose an acre of land in Montana at random. Suppose the probability is 0.35 that it is forested and 0.45 that it is pasture. What is the probability that the land chosen is either forest or pasture?

a. 0.20

b. 0.80

c. 1

d. The probability cannot be determined since the entire sample space is not known.

Suppose the probability of event C is and the probability of event D is . If C and D are mutually exclusive then what is ?

10.

Suppose a five-sided object is tossed and each side is equally likely to occur. What is the probability of any one side landing face down?

a. 0.50

b. 1

c. 0

d. 0.20

11.

Suppose a painter is deciding which color combination to use when painting a house. The main color of the house can be one of five possible colors and the trim can be one of three possible colors. How many different ways could the house be painted?

a. 3

b. 15

c. 125

d. 5

12.

How many three-digit area codes are possible if the only restriction is that the first number cannot be zero?

a. 729

b. 900

c. 3

d. 1000

13.

Suppose a committee of five people is to be chosen from a group of 10 people. How many ways can the committee be chosen?

a. 100,000

b. 5

c. 30,240

d. 120

14.

What is any unordered subset of size k from n distinct objects called?

a. Mutually exclusive

b. Factorial

c. Combination

d. Permutation

15.

The number of combinations of size k from a particular set is ________ the number of permutations of size k.

a. larger than

b. the same as

c. smaller than

d. equal to

16.

What is the value for ?

a. 120

b. 20

c. 3

d. 0.05

17.

If the event of choosing which brand of vehicle to buy is independent of a persons income, what is the probability of buying a Ford if the person makes less than $30,000 a year? Let the probability of buying a Ford be 0.35 and the probability of a person making less than $30,000 a year be 0.50.

a. The probability of both buying a Ford and making less than $30,000 must be known.

b. 0.35

c. 0.175

d. 0.50

18.

Two events C and D are independent if and only if which of the following is true?

19.

Suppose two production machines fail independently. If machine A breaks down 5% of the time and machine B breaks down 12% of the time. What is the probability that both machines are not working at any given time?

a. 0.006

b. The probability cannot be determined with the information given.

c. 0.17

d. 0.60

20.

If two events are mutually exclusive and it is known that and , what is the ?

cannot be determined from the information given.

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