AP STAT AP Exam Prep: Probability (Part III)

What statement does the shaded region represent?

• A or B
• Not A
• A and B
• Not B

• 17.5%
• 10%
• 12.5%
• 25%

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

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.

You play tennis regular with a friend, and from past experience, you believe that the outcome of each match is independent. For any given match you have a probability of 0.6 of winning. The probability that you win the next two matches is

• 0.16
• 0.36
• 0.4
• 0.6

There are 10 red marbles and 8 green marbles in a jar. If you take three marbles from the jar (without replacement), the probability that they are all red is: 

• 0.069
• 0.088
• 0.147
• 0.171

Tags

CCSS.HSS.CP.B.9

Suppose that A and B are two independent events with P(A) = .2 and P(B) = .4. 
P(A∩B^C) is

• .08
• .12
• .52
• .60

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.3

CCSS.HSS.CP.B.8

An athlete suspected of using steroids is given two tests that operate independently of each other. Test A has probability 0.9 of being positive if steroids have been used. Test B has probability 0.8 of being positive if steroids have been used. What is the probability that neither test is positive if steroids have been used?

• 0.72

• .38

• .02

• .28

A small store keeps track of the number X of customers that make a purchase during the first hour that the store is open each day.  Based on the records, X has the following probability distribution.
The mean number of customers that make a purchase during the first hour that the store is open is:
   

• 2.0
• 2.5
• 2.9
• 3

Tags

CCSS.HSS.MD.A.2

CCSS.HSS.MD.A.3

A small store keeps track of the number X of customers that make a purchase during the first hour that the store is open each day.  Based on the records, X has the following probability distribution.
The standard deviation of the number of customers that make a purchase during the first hour that the store is open is

• 0.2
• 1.4
• 2.0
• 3.0

Tags

CCSS.HSS.ID.A.2

CCSS.HSS.ID.A.3

CCSS.HSS.ID.A.4