WorksheetsAP Stats Chapter 6
Total questions: 20
Worksheet time: 20mins
About 7% of men in the United States have some form of red-green color blindness. Suppose we want to simulate randomly selecting 4 U.S. adult males to determine the probability that at least one is red-green color-blind. Which of these are correct assignments of digits for this simulation?
0-7 = color-blind, 8-9 = not color-blind
1-6 = color-blind, 7-10 = not color-blind
01-07 = color-blind, 08-99&00 = not color-blind
00-10 = color-blind, 11-99 = not color-blind
If two events are mutually exclusive, the probability that they both occur is
1
0
0.5
impossible to determine
Suppose A and B are events with the given probabilities: P(A) = 0.62, P(B) = 0.44, and P(A and B) = 0.31. Which of the following conclusions can be drawn from the data?
P(A or B) = 0.75
A and B are mutually exclusive events
A and B are independent events
P(A|B) cannot be determined from the given information
A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
You randomly select one truck owner. Which one of the following is true about the events "Owner has a Chevy" and "Owner's truck has four-wheel drive"?
These two events are mutually exclusive and independent.
These two events are mutually exclusive, but not independent.
These two events are not mutually exclusive, but they are independent.
These two events are neither mutually exclusive nor independent.
Is this a probability distribution?
No
Yes
Is this a probability distribution?
No, the sum of p(x) does not equal 1.
Yes, all p(x) are between 0 and 1.
No, all p(x) are not between 0 and 1.
Yes, the sum p(x) is 1.
A
B
C
D
E
The Law of Large Numbers says
observed probability will approach theoretical probability
outcomes from repeated chance events multiply
chance events even out in the long run
probability will grow without bound
An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.
The conditional probability of A given B is
.5
.3
.2
1/6
A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
You randomly select one truck owner. What is the probability that he owns a Chevy, given that he has four wheel drive?
32/50
32/80
32/125
50/125
A group of 125 pick up truck owners were asked what brand truck they owned and whether it had four-wheel drive. The results are given in the two-way table.
If you randomly selected one truck owner. What is the probability that he owns a Dodge or has a four wheel drive?
20/80
20/125
80/125
90/125
Given the probabilities P(A) =0.4 and P(A∪B) =0.6, what is the probability P(B): If A and B are mutually exclusive? If A and B are independent?
0.2; 0.4
0.2; 0.33
0.33; 0.2
0.6; 0.33
If P(A) = 0.34 and P(A or B) = 0.71, which of the following is false?
P(B) = 0.37, if A and B are disjoint.
P(B) = 0.561, if A and B are independent.
Cannot be determined if A and B are neither disjoint nor independent.
P(A∣B)= 0.34, if A and B are independent.
P(Freshman or Pizza):
27/50
4/50
3/50
30/50
P(Pizza ∩ Water) =
62/182
120/400
58/400
140/400
P(Sandals|Pants):
4/20
6/15
1/2
2/7
At a California college, 19% of the students speak Spanish, 7% speak French, and 4% speak both languages. A student is chosen at random from the college. What is the probability that the student speaks Spanish if she speaks French?
0.220
0.211
0.040
0.571
What is P(not sport | Foreign language)?
23/37
14/23
14/37
3/23
Research on eating habits of families in a large city produced the following probabilities if a randomly selected household was asked “How often during the week do you have a vegetarian (meatless) main dish at dinnertime?” What is the probability that a randomly selected household never has a vegetarian main dish at dinnertime?
0.65
0.35
0
0.25
The probability of a randomly selected person being left-handed is 1/7. Which one of the following best describes what this means?
If a very large number of people are selected, the proportion of left-handed people will be very close to 1/7.
For every 700,000 people selected, 100,000 will be left-handed.
If we get 4 left-handed people in 4 consecutive random selections, the probability that the next person is left-handed is substantially lower than 1/7.
Left-handed people are the best because they are more unique than right-handed and ambidextrous people.
