AP Stats Chapter 6

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