AP STATS CH 5 MULTIPLE CHOICE

Dr. Stats plans to toss a fair coin 10,000 times in the hope that it will lead him to a deeper understanding of the laws of probability. Which of the following statements is true?

a. It is unlikely that Dr.Stats will get more than 5000 heads

b. Whenever Dr.Stats gets a string of 15 tails in a row, it becomes more likely that the next toss will be a head.

c. The fraction of tosses resulting in heads should be exactly 1/2

d. The chance that the 100th toss will be a head depends somewhat on the results of the first 99 tosses.

e. It is likely that Dr.Stats will get about 50% heads.

e. It is likely that Dr.Stats will get about 50% heads.

China has 1.2 billion people. Marketers want to know which international brands they have heard of.

A large study showed that 62% of all Chinese adults have heard of Coca-Cola. You want to simulate

choosing a Chinese at random and asking if he or she has heard of Coca-Cola. One correct way to

assign random digits to simulate the answer is:

a. One digit simulates one person's answer; odd means "yes" and even means "no"

b. One digit simulates one person's answer; 0-6 means "yes" and 7-9 means "no"

c. One digit simulates the result; 0-9 tells how many in the sample said "yes"

d. Two digits simulate one person's answer; 00-61 mean "yes" and 62-99 mean "no"

e. Two digits simulate one person's answer; 00-62 mean "yes" and 63-99 mean "no"

d. Two digits simulate one person's answer; 00-61 mean "yes" and 62-99 mean "no"

A housing company builds houses with two-car garages. What percent of households have more cars

than the garage can hold?

a. 7%

b. 13%

c. 20%

d. 45%

e. 55%

c. 20%

The number of words recognized correctly out of the 10 is

a. 10

b. 9

c. 8

d. 7

e. 6

b. 9

What is the probability that a student has a GPA under 2.0?

a. 0.227

b. 0.255

c. 0.450

d. 0.475

e. 0.50

b. 0.255

What is the probability that a student has a GPA under 2.0 or has skipped many classes?

a. 0.080

b. 0.281

c. 0.285

d. 0.365

e. 0.727

c. 0.285

What is the probability that a student has a GPA under 2.0 given that he or she has skipped many

classes?

a. 0.080

b. 0.281

c. 0.285

d. 0.314

e. 0.727

e. 0.727

For events A and B related to the same chance process, which of the following statements is true?

a. If A and B are mutually exclusive, then they must be independent.

b. If A and B are independent, then they must be mutually exclusive

c. If A and B are not mutually exclusive, then they must be independent.

d. If A and B are not independent, then the must be mutually exclusive

e. If A and B are independent, then they cannot be mutually exclusive.

e. If A and B are independent, then they cannot be mutually exclusive.

Choose an American adult at random. The probability that you choose a woman is 0.52. The

probability that the person you choose has never been married is 0.25. The probability that you

choose a woman who has never been married is 0.11. The probability that person you choose is

either a woman or has never been married (or both) is therefore about

a. 0.77

b. 0.66

c. 0.44

d. 0.38

e. 0.13

b. 0.66

A deck of playing cards has 52 cards, of which 12 are face cards. If you shuffle the deck well and turn over the top 3 cards, one after the other, what's the probability that all 3 are face cards?

a. 0.001

b. 0.005

c. 0.10

d. 0.012

e. 0.02

b. 0.4