Question 1 of 40
Sammy and Sally each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of food items that Sally and Sammy consumed are as follows.
chocolate bar – chocolate bar
licorice stick – chocolate bar
banana – banana
chocolate bar – licorice stick
licorice stick – licorice stick
chocolate bar banana
banana – licorice stick
licorice stick – banana
banana – chocolate bar
Find the probability that no chocolate bar was eaten.
A. 4/9
B. 5/9
C. 7/9
D. 5/8
Question 2 of 40
Suppose you have an extremely unfair coin: the probability of a head is 1/3 and the probability of a tail is 2/3. If you toss the coin 72 times, how many heads do you expect to see?
A. 12
B. 22
C. 24
D. 26
Question 3 of 40
Of 1308 people who came into a blood bank to give blood, 314 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure (to 3 decimal places).
A. 0.250
B. 0.490
C. 0.240
D. 0.160
Question 4 of 40
If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at most one head?
A. 4/9
B. 5/6
C. 7/8
D. 5/8
Question 5 of 40
If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at least two tails?
A. 1/2
B. 2/3
C. 3/4
D. 4/9
Question 6 of 40
A committee of three people is to be formed. The three people will be selected from a list of five possible committee members. A simple random sample of three people is taken, without replacement, from the group of five people. Using the letters A, B, C, D, E to represent the five people, list the possible samples of size three and use your list to determine the probability that B is included in the sample. (Hint: There are 10 possible samples.)
A. 0.6
B. 0.4
C. 0.7
D. 0.8
Question 7 of 40
Suppose you have an extremely unfair coin: the probability of a head is 1/5, and the probability of a tail is 4/5. If you toss the coin 40 times, how many heads do you expect to see?
A. 8
B. 6
C. 5
D. 4
Question 8 of 40
Joe dealt 20 cards from a standard 52card deck, and the number of red cards exceeded the number of black cards by 8. He reshuffled the cards and dealt 30 cards. This time, the number of red cards exceeded the number of black cards by 10. Determine which deal is closer to the 50/50 ratio of red/black expected of fairly dealt hands from a fair deck and why.
A. The first series is closer because 1/10 is farther from 1/2 than is 1/8.
B. The series closer to the theoretical 50/50 cannot be determined unless the number of red and black cards for each deal is given.
C. The second series is closer because 20/30 is closer to 1/2 than is 14/20.
D. The first series is closer because the difference between red and black is smaller than the difference in the second series.
Question 9 of 40
If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. There are 365 days in a year. Express your answer as a fraction.
A. 335/365
B. 334/365
C. 336/365
D. 30/365
Question 10 of 40
A sample space consists of 46 separate events that are equally likely. What is the probability of each?
A. 1/24
B. 1/46
C. 1/32
D. 1/18
Question 11 of 40
A bag contains four chips of which one is red, one is blue, one is green, and one is yellow. A chip is selected at random from the bag and then replaced in the bag. A second chip is then selected at random. Make a list of the possible outcomes (for example, RB represents the outcome red chip followed by blue chip) and use your list to determine the probability that the two chips selected are the same color. (Hint: There are 16 possible outcomes.)
A. 1/4
B. 3/4
C. 2/16
D. 3/16
Question 12 of 40
The probability that Luis will pass his statistics test is 0.94. Find the probability that he will fail his statistics test.
A. 0.02
B. 0.05
C. 0.94
D. 0.06
Question 13 of 40
In a poll, respondents were asked whether they had ever been in a car accident. 220 respondents indicated that they had been in a car accident and 370 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth.
A. 0.384
B. 0.380
C. 0.373
D. 0.370
Question 14 of 40
Suppose you buy 1 ticket for $1 out of a lottery of 1000 tickets where the prize for the one winning ticket is to be $500. What is your expected value?
A. $0.00
B. $0.40
C. $1.00
D. $0.50
Question 15 of 40
A 28yearold man pays $125 for a oneyear life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9994, to the nearest dollar, what is the mans expected value for the insurance policy?
A. $139,916
B. $41
C. $84
D. $124
Question 16 of 40
In the first series of rolls of a die, the number of odd numbers exceeded the number of even numbers by 5. In the second series of rolls of the same die, the number of odd numbers exceeded the number of even numbers by 11. Determine which series is closer to the 50/50 ratio of odd/even expected of a fairly rolled die.
A. The second series is closer because the difference between odd and even numbers is greater than the difference for the first series.
B. The first series is closer because the difference between odd and even numbers is less than the difference for the second series.
C. Since 1/2 > 1/5 > 1/11, the first series is closer.
D. The series closer to the theoretical 50/50 cannot be determined unless the total number of rolls for both series is given.
Question 17 of 40
A die with 12 sides is rolled. What is the probability of rolling a number less than 11? Is this the same as rolling a total less than 11 with two sixsided dice? Explain.
A. 2/6
B. 3/6
C. 4/6
D. 5/6
Question 18 of 40
Suppose you pay $1.00 to roll a fair die with the understanding that you will get back $3.00 for rolling a 5 or a 2, nothing otherwise. What is your expected value?
A. $1.00
B. $0.00
C. $3.00
D. $1.00
Question 19 of 40
A class consists of 50 women and 82 men. If a student is randomly selected, what is the probability that the student is a woman?
A. 32/132
B. 25/66
C. 50/132
D. 82/132
Question 20 of 40
Suppose you have an extremely unfair die: The probability of a 6 is 3/8, and the probability of each other number is 1/8. If you toss the die 32 times, how many twos do you expect to see?
A. 2
B. 4
C. 3
D. 5
Question 21 of 40
Sample size = 400, sample mean = 44, sample standard deviation = 16. What is the margin of error?
A. 1.4
B. 1.6
C. 2.2
D. 2.6
Question 22 of 40
Suggest the cause of the correlation among the data.
The graph shows strength of coffee (y) and number of scoops used to make 10 cups of coffee (x). Identify the probable cause of the correlation.
A.The variation in the x variable is a direct cause of the variation in
they variable.
B. There is no correlation between the variables.
C. The correlation is due to a common underlying cause.
D. The correlation between the variables is coincidental.
Question 23 of 40
Select the best estimate of the correlation coefficient for the data depicted in the scatter diagram.
A. 0.9
B. 0.9
C. 0.5
D. 0.5
Question 24 of 40  2.5 Points 
The scatter plot and bestfit line show the relation between the price per item (y) and the availability of that item (x) in arbitrary units. The correlation coefficient is 0.95. Determine the amount of variation in pricing explained by the variation in availability.
A. 5% 

B. 10% 

C. 95% 

D. 90% 
Question 25 of 40
Which point below would be an outlier if it were on the following graph?
A. (25, 20)
B. (5, 12)
C. (7, 5)
D. (5, 3)
Question 26 of 40
Among a random sample of 150 employees of a particular company, the mean commute distance is 29.6 miles. This mean lies 1.2 standard deviations above the mean of the sampling distribution. If a second sample of 150 employees is selected, what is the probability that for the second sample, the mean commute distance will be less than 29.6 miles?
A. 0.8849
B. 0.5
C. 0.1131
D. 0.1151
Question 27 of 40
Monthly incomes of employees at a particular company have a mean of $5954. The distribution of sample means for samples of size 70 is normal with a mean of $5954 and a standard deviation of $259. Suppose you take a sample of size 70 employees from the company and find that their mean monthly income is $5747. How many standard deviations is the sample mean from the mean of the sampling distribution?
A. 0.8 standard deviations above the mean
B. 0.8 standard deviations below the mean
C. 7.3 standard deviations below the mean
D. 207 standard deviations below the mean
Question 28 of 40
2.5 Points
A sample of nine students is selected from among the students taking a particular exam. The nine students were asked how much time they had spent studying for the exam and the responses (in hours) were as follows:
18, 7, 10, 13, 12, 16, 5, 20, 21
Estimate the mean study time of all students taking the exam. Round your answer to the nearest tenth of an hour if necessary.
A. 13 hours
B. 12.2 hours
C. 13.6 hours
D. It is not possible to estimate the population mean from this sample data
Question 29 of 40
The scatter plot and bestfit line show the relation among the number of cars waiting by a school (y) and the amount of time after the end of classes (x) in arbitrary units. The correlation coefficient is 0.55. Use the line of best fit to predict the number of cars at time 4 after the end of classes.
A. 7.0
B. 6.0
C. 8.0
D. 3.5
Question 30 of 40  2.5 Points 
A random sample of 30 households was selected from a particular neighborhood. The number of cars for each household is shown below. Estimate the mean number of cars per household for the population of households in this neighborhood. Give the 95% confidence interval.
A. 1.14 to 1.88 

B. 1.12 to 1.88 

C. 1.12 to 1.98 

D. 1.14 to 1.98 
Question 31 of 40
2.5 Points
30% of the fifth grade students in a large school district read below grade level. The distribution of sample proportions of samples of 100 students from this population is normal with a mean of 0.30 and a standard deviation of 0.045. Suppose that you select a sample of 100 fifth grade students from this district and find that the proportion that reads below grade level in the sample is 0.36. What is the probability that a second sample would be selected with a proportion less than 0.36?
A. 0.8932
B. 0.8920
C. 0.9032
D. 0.9048
Question 32 of 40  2.5 Points 
The graph shows a measure of fitness (y) and miles walked weekly. Identify the probable cause of the correlation.
A. The correlation is coincidental. 

B. There is a common underlying cause of the correlation. 

C. There is no correlation between the variables. 

D. Walking is a direct cause of the fitness. 
Select the best estimate of the correlation coefficient for the data depicted in the scatter diagram.
A. 0.60 

B. 0.97 

C. 0.10 

D. 0.60 
Question 34 of 40
Of the 6796 students in one school district, 1537 cannot read up to grade level. Among a sample of 812 of the students from this school district, 211 cannot read up to grade level. Find the sample proportion of students who cannot read up to grade level.
A. 0.14
B. 0.26
C. 211
D. 0.23
Question 35 of 40
The scatter plot and bestfit line show the relation among the number of cars waiting by a school (y) and the amount of time after the end of classes (x) in arbitrary units. The correlation coefficient is 0.55. Determine the amount of variation in the number of cars not explained by the variation time after school.
A. 55%
B. 70%
C. 30%
D. 45%
Question 36 of 40  2.5 Points 
Which line of the three shown in the scatter diagram below fits the data best?
A. A 

B. B 

C. C 

D. All the lines are equally good 
Question 37 of 40  2.5 Points 
Select the best fit line on the scatter diagram below.
A. A 

B. B 

C. C 

D. None of the lines is the line of best fit 
Question 38 of 40
A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 560 college students showed that 27% of them had, or intended to, cheat on examinations. Find the 95% confidence interval.
A. 0.2323 to 0.3075
B. 0.2325 to 0.3075
C. 0.2325 to 0.3185
D. 0.2323 to 0.3185
Question 39 of 40  2.5 Points 
Write possible coordinates for the single outlier such that it would no longer be an outlier.
A. (23, 18) 

B. (20, 5) 

C. (15, 15) 

D. (12, 15) 
Question 40 of 40
A population proportion is to be estimated. Estimate the minimum sample size needed to achieve a margin of error E = 0.01with a 95% degree of confidence.
A. 7,000
B. 8,000
C. 9,000
D. 10,000
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