A
B
C
D
E
100
The probability a student takes AP Statistics and AP Environmental Science is .05. The probability a student takes AP Statistics is .18. What is the probability a student takes AP Environmental Science given that the student takes AP Statistics?
.2778
P(AP Environmental Science l AP Statistics) =
P(AP Environmental Science and AP Statistics) / P(AP Statistics)
100
Event A occurs with probability 0.8. The conditional probability that event B occurs, given that A occurs, is 0.5. The probability that both A and B occur is:
(A) 0.3
(B) 0.4
(C) 0.625
(D) 0.8
(E) 1.0
(B) 0.4
100
Data is gathered on a randomly selected Saturday on the shoppers at Target. The probability that a shopper is drinking Starbucks is 25%, while the probability they have kids with them is 65%, and the probability that they have both is 15%. What is the probability that the shopper will not have Starbucks and not have kids with them?
(A) 10%
(B) 15%
(C) 25%
(D) 50%
(E) 60%
(C) 25%
100
Your high school wants to assess their student attitudes towards the new block schedule. The administration randomly selects 5 first block classes out of a possible 35 total classes and gives a survey to every student in the class. What type of sample is this an example of?
(A) voluntary response sample
(B) stratified sample
(C) cluster sample
(D) simple random sample
(E) convenience sample
(C) cluster sample
100
A set of test scores has the following 5-number summary:
Minimum | Q1 | Median | Q3 | Maximum
2 | 18 | 22.5 | 28.5 | 33
Which statement about outliers must be true?
(A) There is exactly one outlier on the lower end.
(B) There is at least one outlier on the lower end.
(C) There is exactly one outlier on the higher end.
(D) There is at least one outlier on the higher end.
(E) There are no outliers.
(B) There is at least one outlier on the lower end.
IQR (Q3 - Q1) = 10.5
Q3 + 1.5(10.5) = 44.25
Q1 - 1.5(10.5) = 2.25
200
Students at University X must be in one of the class ranks—freshman, sophomore, junior, or senior. At University X, 35% of the students are freshmen and 30% are sophomores. If a student is selected at random, what is the probability that he or she is either a junior or a senior?
35%
200
The probability someone makes an 5 in AP statistics test is .15. Ms. Lucius teaches 30 students. What is the probability at no more than 10 students make an 5?
What is .997
200
Suppose A and B are events with the given probabilities: P(A) = 0.62, P(B) = 0.44. and P(A and B) = 0.31. Which of the following conclusions can be drawn from the data?
(A) A and B are mutually exclusive events
(B) A and B are independent events
(C) P(A or B) = 0.75
(D) P(A | B) cannot be determined from the given information.
(E) P(B | A) cannot be determined from the given information.
(C) P(A or B) = 0.75
200
_____ 14) If a study is considered biased, which of the following is true?
(A) Too many people of one race participated in the study.
(B) No placebos were used in the study.
(C) Certain outcomes are systematically favored.
(D) The correlation between the explanatory and response variable is near 0.
(E) An incorrect experimental design was used.
(C) Certain outcomes are systematically favored.
200
A variable x follows a normal distribution with a mean of 20 and standard deviation of 5. According to the Empirical Rule, the middle 68% of the data falls between what two x values?
(A) 19 and 21
(B) 15 and 20
(C) 20 and 25
(D) 15 and 25
(E) 10 and 30
(D) 15 and 25
300
An event A will occur with probability 0.5. An event B will occur with probability 0.6. The probability that both A and B will occur is 0.1.
What is the conditional probability of A given B?
1/6
300
If two events are independent, then the probability that they both occur is
(A) one
(B) zero
(C) the sum of the probabilities of each event
(D) the product of the probabilities of each event
(E) the difference of the probabilities of each event
(D) the product of the probabilities of each event
300
If C = the number of cars in a randomly selected household (and we omit the rare cases of more than 5 cars) then C has the following probability distribution:
C 0 1 2 3 4 5
P(C) 0.24 0.37 0.20 0.11 0.05 0.03
What is the expected value of the number of cars in a randomly selected household?
(A) 2.5
(B) 0.1667
(C) 1.45
(D) 1
(E) Cannot be determined
(C) 1.45
300
____ 19) A company wants to test a new weight loss supplement. It anticipates that exercise level could influence the response variable. For a randomized block design, the company should:
(A) Block on gender because it is not associated with the weight loss supplement.
(B) Block on gender because males and females are different.
(C) Block on the drug vs placebo, because that is the best was to have a completely randomized design.
(D) Block on exercise level because it is associated with weight loss.
(E) Block on gender and exercise because blocking on more variables give more reliable estimates.
(D) Block on exercise level because it is associated with weight loss.
300
Which of the following is true of the correlation r?
(A) It is a resistant measure of association.
(B) -1 <= r <= 1
(C) If r is the correlation between X and Y, then –r is the correlation between Y and X.
(D) Whenever all the data lie on a perfectly straight line, the correlation r will always be equal to +1.0.
(E) All of the above are true.
(B) -1 <= r <= 1
400
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.
What is the probability that you win money at least once in two games?
1 - p(win none)
1 -
1/2 x 1/2 = 0.75
400
The probability it will rain any given day is .21. What is the probability it will rain more than 5 days this week?
What is .00049
400
The probability Logan gets a hit is .15. What is the probability it takes him at least 5 at bats to get a hit?
What is .5221
400
_____ 14) If a study is considered biased, which of the following is true?
(A) Too many people of one race participated in the study.
(B) No placebos were used in the study.
(C) Certain outcomes are systematically favored.
(D) The correlation between the explanatory and response variable is near 0.
(E) An incorrect experimental design was used.
(C) Certain outcomes are systematically favored.
400
y = 13.6552 + 1.2984x . What is the predicted price of a large pizza if I order 4 toppings?
(A) $18.85
(B) $16.50
(C) $6.52
(D) $20.15
(E) $15.50
(A) $18.85
500
Given that P(A) = 0.6 and P(B) = 0.3 and P(B|A) = 0.5
(a) P(A and B) = ?
(b) P(A or B) = ?
(c) Are events A and B independent?
a) P(A&B) = 0.3
b) P(A or B) = 0.6
c) not independent
500
The probability you will have a tire blowout is .015. What is the probability you will have between 1 and 3 blowouts this week (school week)?
What is .0728.
500
Two independent random variables X and Y have the probability distributions, means, and standard deviations shown.
X 1 2 5
P(X) 0.2 0.5 0.3
Y 2 4
P(Y) 0.7 0.3
mux = 2.7,
sigmax = 1.55
muy = 2.6,
sigmay = 0.917a)
Let the random variable Find all possible values of T. Compute the probability that T takes each of these values. Summarize the probability distribution of T in a table.
T | 3 | 5 | 4 | 6 | 7 | 9
P(T)| 0.14 | 0.6 | 0.35 | 0.15 | 0.21 | 0.09
500
After 12 weeks of growing time, he measures the potato size and compares the effects of the two soil mixtures located in each section. This design is an example of
(A) matched pairs experiment
(B) completely randomized experiment
(C) cluster experiment
(D) double-blind experiment
(E) an observational study
(A) matched pairs experiment
500
What is the relationship between r1, r2, and r3, the correlation coefficients of each scatterplot?
(A) r1 < r2 < r3
(B) r1 < r3 < r2
(C) r2 < r3 < r1
(D) r2 < r1 < r3
(E) r3 < r1 < r2
(E) r3 < r1 < r2