Chapter5-Probability and Simulations ASP

The probability that you will be ticketed for illegal parking on campus is about 1/3. During the last nine days, you have illegally parked every day and have NOT been ticketed (you lucky person!). Today, on the 10th day, you again decide to park illegally. Assuming the outcomes are independent

from day to day, the probability that you will be caught is

• 1/3

• 1/3 + (1/9)³

• 1/3 - (1/9)³

• 1/10

• 9/10

A friend has placed a large number of plastic disks in a hat and invited you to select one at random. He informs you that they have numbers on them, and that one of the following is the probability model for the number on the disk you have chosen. Which one is it?

• a

• b

• c

• d

• e

You select one student from this group at random. What is the probability that this student typically takes a bus to school?

• 0.256

• 0.309

• 0.453

• 0.455

• 0.604

Event A occurs with probability 0.2. Event B occurs with probability 0.8. If A and B are disjoint (mutually exclusive), then

• P(A or B) = 1.0.

• P(A and B) = 0.16.

• P(A and B) = 1.0.

• P(A or B) = 0.16.

• both (a) and (b) are true.

A fair coin is tossed four times, and each time the coin lands heads up. If the coin is then tossed 1996 more times, how many heads are most likely to appear in these 1996 additional tosses?

• 996

• 998

• 1000.

• 1002

• 1996

Dwayne has collected data on the number of occupants of cars travelling on the road past his house for the past week. Based on his data, he has constructed a probability model for the number of occupants of a randomly-selected car on his street. Which of the following could be his model?

• a

• b

• c

• d

• e

You select one musician from this group at random. What is the probability that this person plays a woodwind?

• 0.091.

• 0.136

• 0.159

• 0.182

• 0.571

A die is loaded so that the number 6 comes up three times as often as any other number. What is the probability of rolling a 1 or a 6?

• 2/3

• 1/2

• 3/8

• 1/3.

• 1/4

The probability of any outcome of a random phenomenon is

• the precise degree of randomness present in the phenomenon.

• any number as long as it is greater than 0 and less than 1.

• either 0 or 1, depending on whether or not the phenomenon can actually occur or not.

• the proportion of times the outcome occurs in a very long series of repetitions.

• none of the above.

A randomly selected student is asked to respond Yes, No, or Maybe to the question “Do you intend to vote in the next presidential election?” The sample space is { Yes, No, Maybe }. Which of the

following represents a legitimate assignment of probabilities for this sample space?

• 0.4, 0.4, 0.2

• 0.4, 0.6, 0.4

• 0.3, 0.3, 0.3

• 0.5, 0.3, 0.2

• ¼, ¼, ¼