Free Printable AP Stats Review Questions

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AP Stats Review Questions

Total questions: 50

Worksheet time: 3hrs 8mins

Name

Class

Date

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let X = the card you observe.

Yes

No, the trials are not independent.

No, there are more than 2 outcomes

Which of the following is NOT an assumption of the Binomial distribution?

All trials must be independent.

Each trial must be classified as a success or a failure.

All trials are dependent on each other.

The number of successes in the trials is counted.

8. An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?

0.2373

0.3955

0.7627

0.6045

The owner of a small convenience store is trying to decide whether to discontinue selling magazines. He suspects that only 5% of the customers buy a magazine and thinks that he might be able to use the display space to sell something more profitable. What is the probability that at least 5 of his first 50 customers buy magazines?

0.104

0.896

0.066

0.774

Determine whether the random variable is discrete or continuous.
The number of students on the Shawnee Heights Honor Roll..

Discrete

Continuous

What is the probability that a family doesn't have a baby girl until their third child?

0.13

0.15

0.05

0.88

If Mobius draws 7 cards out of a deck with replacement, what is the probability that he gets the first heart in 6 attempts or fewer?

0.18

0.82

0.06

0.76

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. How many blood donors should the American Red Cross expect to collect from until it gets a donor with Type B blood?

9.1 donors

8.5 donors

10.3 donors

Cannot be determined.

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 the tenth blood donor is the first donor with Type B blood?

approximately 0.00

0.316

0.0385

0.279

10.

The events, black card and red card are an example of __________ because together they represent the entire sample space.

independent events

complementary events

binomial distribution

geometric distribution

11.

What does the following represent?
Random sample of 100 students from each grade level at a high school to complete a survey.

SRS

blocking

stratified random sample

experiment

12.

Chi Squared Distribution

Binomial Distribution

Geometric Distribution

Sampling Distribution

13.

Undercoverage, nonresponse, and voluntary response are examples of what?

Sampling Distribution

Bias

Type I error

Type II error

14.

A student is taking a 10 question multiple choice test that has five options for each question (A, B, C, D, and E).

Suppose a student knows the correct answer to 6 of the questions. For the remaining 4 questions, the student can eliminate one response per question, on average.

What is the probability the student gets at least an 80% on the test?

.2109

.0823

.3023

.2617

.5233

15.

Number of Thunderstorms during August
Number of Storms 0 1 2 3
Probability 0.2 0.2 0.4 0.2
How many storms should we expect in August?

1.8

2.0

1.6

2.2

16.

x 0 1 2
P(X=x) 0.7 0.2 0.1
Find the standard deviation.

.69

.72

.68

.66

17.

Measure of distance of every score to the mean

Standard Deviation

Range

Median

Mode

18.

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

19.

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

20.

Which method of sampling is used in this situation:
Putting the populations of a few Grant County schools into a group and sampling them

A. Random Sampling

B. Systematic Sampling

C. Stratified Sampling

D. Cluster Sampling

21.

The tendency for the researchers to engage in behaviors that support the hypotheses or expectations

Participant Bias

Observer Bias

Sampling Bias

Researcher Bias

22.

A procedure where both researcher and the participants are ignorant to the expected outcome of the research study

Placebo Effect

Confounding Variable

Validity

Double-Blind Procedure

23.

Find the outliers (if any) in the data set:
20, 41, 27, 28, 1, 52, 32, 30, 23, 72, 40, 51, 49, 37

None

Both 1 & 72

24.

The U.S. Postal Service recently released data on the number of days it takes for a first-class letter to reach its destination, as shown in the table above.

μ = 1.9; σ = 0.75

μ = 1.9; σ = 0.87

μ = 2; σ = 1

μ = 2; σ = 1.5

μ = 2.5; σ = 1

25.

A small fry weighs 3 ounces with a standard deviation of 0.2 ounces and a cheeseburger weighs 5 ounces with a standard deviation of 0.4 ounces. Jimmy makes a heart attack bet with one of his friends that he can eat 4 small fries and 4 cheeseburgers in 10 minutes.

Not only do we want to know if Jimmy can accomplish this heart attack goal, but what is the total mean and standard deviation in ounces for the cheeseburgers and small fries that Jimmy is about to devour?

Mean = 8 ounces

Standard Deviation = 0.8 ounces

Mean = 8 ounces

Standard Deviation = 0.89 ounces

Mean = 32 ounces

Standard Deviation = 2.4 ounces

Mean = 32 ounces

Standard Deviation = 0.8 ounces

Mean = 32 ounces

Standard Deviation = 0.89 ounces

26.

Homer Simpson has yet another new job. He is now the personal chauffeur for a bunch of characters. These characters always travel together to places like the CartoonCon Convention, and Homer always drives them in a van that weighs 4050 pounds.

Of course, Homer's weight and the weights of the other characters go up and down a bit each day depending on how much they have been enjoying their food. The table above gives Homer's and each of the other character's mean weights and the standard deviation of their weights (in pounds).

Mean = 582.7 pounds

Standard Deviation = 1.6 pounds

Mean = 582.7 pounds

Standard Deviation = 7.62 pounds

Mean = 4632.7 pounds

Standard Deviation =1.6 pounds

Mean = 4632.7 pounds

Standard Deviation = 7.62 pounds

We cannot find the standard deviation of the total weight since we are not given the standard deviation of the weight of the van.

27.

List the sample space for the sum of rolling two dice

{1, 2, 3, 4, 5, 6}

{2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

{2, 4, 6, 8}

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

28.

A bag is filled with 3 red marbles, 2 blue marbles, and 1 green marble. What is the probability of drawing a blue marble then a red marble without replacement?

1/2

3/4

1/5

5/8

29.

A box contains 7 yellow pencils and 3 black pencils. Michael randomly chooses a pencil and does not replace it. Then he chooses a second pencil. What is the probability the first pencil is yellow and the second pencil is black?

54.4%

46.7%

49.0%

23.3%

30.

What is the probability that the person picked will be a boy given they speak german?

.7273

.16

.22

31.

A new credit card has been issued to 2000 customers. Of these customers, 1500 hold a Visa, 500 hold an AA card, and 40 hold a Visa and AA card. Find the probability that a random chosen customer holds a Visa and AA card, given they hold a Visa.

.0267

37.5

.02

.3333

32.

P(Pizza ∩ Water) =

62/182

120/400

58/400

140/400

33.

34.

The histogram is skewed to the right.

The histogram is skewed to the left.

The distribution appears to be normal.

The distribution appears to be uniform.

35.

The probability of A is given P(A) = .4 and the probability of B is given P(B)=.25. If the Probability of the intersection (A AND B) is .13, Find the probability of choosing A OR B. Hint - use the addition rule!

.78

.13

.52

36.

Of 100 students, 70 are taking a math class, 82 are taking an English class, and 60 are taking both. What is the probability a selected student is taking math or English?

92%

152/160

60%

70%

37.

P(Pizza|Senior):

10/15

4/5

2/3

10/5

38.

Find the mean of the probability distribution.

83.2

87.1

84.4

39.

A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced.
P(white, then purple, then black)
Which formula would you use to solve this problem?

P(A∩B) = P(A)⋅P(B)

P(A∩B) = P(A)⋅P(B∣A)

P(B|A)=P(A∩B)/P(A)

P(A∪B) = P(A)+P(B)

40.

If P(A) = 0.34 and P(A or B) = 0.71, which of the following is false?

a) P(B) = 0.37, if A and B are disjoint.

b) P(B) = 0.561, if A and B are independent.

c) Cannot be determined if A and B are neither disjoint nor independent.

d) P(A∣B)= 0.34, if A and B are independent.

41.

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.

42.

At a California college, 19% of the students speak Spanish, 7% speak French, and 4% speak both languages. A student is chosen at random from the college. What is the probability that the student speaks Spanish if she speaks French?

0.220

0.211

0.040

0.571

43.

What percentage of the area falls below the mean?

0.34

0.45

0.5

0.67

44.

What is the total area under the standard normal distribution curve?

0.997

45.

What percentage of the area under the normal distribution curve falls within 1 standard deviation above and below the mean?

0.997

0.95

0.75

0.68

46.

The standard normal distribution is a normal distribution with a mean of ____ and a standard deviation of ____.

0, 1

1, 0

0, 0.5

1, 0.5

47.

Normal Curve (11)
A soft drink dispenser can be adjusted to deliver any fixed number ounces. If the machine is operating with a standard deviation in delivery equal to 0.3 ounce, what should be the mean setting so that a 12-ounce cup will overflow less than 1% of the time? Assume a normal distribution for ounces delivered.

A) 11.23 ounces

B) 11.30 ounces

C) 11.70 ounces

D) 12.70 ounces

48.

Normal Curve (19)
The number of leasable square feet of office space available in a city on any given day has a normal distribution with mean 640,000 square feet and standard deviation 18,000 square feet. What is the interquartile range for this distribution? (Hint: you will need to find the z-scores of Q1 and Q3 to start the problem)

A) 652,000 - 628,000

B) 658,000 - 622,000

C) 667,000 - 613,000

D) 676,000 - 604,000

49.

Descriptive Statistics Stem & Leaf (20)
Consider the following back to back stemplot. Which of the following is a correct statement?

A) The distributions have the same mean.

B) The distributions have the same median.

C)The IQR of the distribution to the left is 20 greater than the IQR of the distribution to the right,

D) The distributions have the same variance.

50.

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?

1.43

-1.43

11.5

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AP Stats Review Questions

Total questions: 50

Worksheet time: 3hrs 8mins

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