AP Statistics Chapter 5 Review

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?

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

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

• The fraction of tosses resulting in heads should be exactly ½

• The chance that the 100th toss will be a head depends somewhat on the previous 99 tosses.

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

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

• 0.227

• 0.255

• 0.450

• 0.475

• 0.506

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

• 0.080

• 0.281

• 0.285

• 0.365

• 0.727

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:

• One digit simulates one person’s answer; odd means “yes” and even means “no”

• One digit simulates one person’s answer; 0-6 means “yes” and 7-9 means “no”

• One digit simulates the result; 0-9 tells how many in the sample said “yes”

• Two digits simulate one person’s answer; 00-61 mean “yes” and 62-99 mean “no”

• Two digits simulate one person’s answer; 00-62 mean “yes” and 63-99 mean “no”

Is this a probability distribution?

• No

• Yes

• A

• B

• C

• D

• E

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.

Choose an American household at random and record the number of vehicles they own. Here is the probability model if we ignore the households that own more than 5 cars: A housing company builds houses with two-car garages. What percent of households have more cars than the garage can hold?

• 7%

• 13%

• 20%

• 45%

• 55%

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

• 0.080

• 0.281

• 0.285

• 0.365

• 0.727

In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of spots showing is six, you win $4. And if the number of spots showing is one, two, or three, you win nothing. You are going to play the game twice.
The probability that you win money at least once in the two games is

• .75

• .5

• .25

• .125