AP Statistics CH 5 and CH 6

Which of the following is not a random variable?

• The heights of randomly-selected buildings in New York City.

• The suit of a card randomly-selected from a 52-card deck.

• The number of children in randomly-selected households in the United States.

• The amount of money won (or lost) by the next person to walk out of a casino in Las Vegas.

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

The weight of written reports produced in a certain department has a Normal distribution with mean 60 g and standard deviation 12 g. The probability that the next report will weigh less than 45 g is

• .1056
• .3944
• .1042
• .8944

In a certain game of chance, your chances of winning are 0.2. If you play the game five times and outcomes are independent, which of the following represents the probability that you win at least once?

• (0.2)⁵
• 1-(0.2)⁵
• 1-(0.8)⁵
• (₅C₂)(0.2)(0.8)⁴

A college basketball player makes 5/6 of his free throws. Assuming free throw attempts are independent, the probability that he makes exactly three of his next four free throws is

• 4(1/6)³(5/6)¹
• (1/6)³(5/6)¹
• (1/6)¹(5/6)³
• 4(1/6)¹(5/6)³

A poll shows that 60% of the adults in a large town are registered Democrats.  A newspaper reporter wants to interview a local democrat regarding a recent decision by the City Council.
If the reporter asks adults on the street at random, what is the probability that he will find a Democrat by the time he has stopped three people?

• .936
• .216
• .144
• .096

A poll shows that 60% of the adults in a large town are registered Democrats.  A newspaper reporter wants to interview a local democrat regarding a recent decision by the City Council.
On average, how many people will the reporter have to stop before he finds his first Democrat?

• 1
• 1.33
• 1.67
• 2

The American Red Cross says that about 11% of the U.S. population has Type B blood. A blood drive is being held at your school.What is the probability that exactly 2 of the first 20 blood donors have Type B blood? 

• 0.316
• 0.282
• 0.001
• Not here

Tags

CCSS.HSS.CP.B.9

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

Tags

CCSS.HSS.CP.A.1

If two events are disjoint, the probability that they both occur is

• 1

• 0

• 0.5

• impossible to determine