# MATHEMATICS

 Question 16 of 40 2.5/ 2.5 Points

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?

 [removed] A. 2 [removed] B. 4 [removed] C. 3 [removed] D. 5
 Question 17 of 40 0.0/ 2.5 Points

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.

 [removed] A. 0.384 [removed] B. 0.380 [removed] C. 0.373 [removed] D. 0.370
 Question 18 of 40 2.5/ 2.5 Points

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?

 [removed] A. 1/2 [removed] B. 2/3 [removed] C. 3/4 [removed] D. 4/9
 Question 19 of 40 0.0/ 2.5 Points

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.)

 [removed] A. 0.6 [removed] B. 0.4 [removed] C. 0.7 [removed] D. 0.8
 Question 20 of 40 0.0/ 2.5 Points

Jody checked the temperature 12 times on Monday, and the last digit of the temperature was odd six times more than it was even. On Tuesday, she checked it 18 times and the last digit was odd eight times more than it was even. Determine which series is closer to the 50/50 ratio of odd/even expected of such a series of temperature checks.

 [removed] A. The Monday series is closer because 1/6 is closer to 1/2 than is 1/8. [removed] B. The Monday series is closer because 6/12 is closer to 0.5 than is 8/18. [removed] C. The Tuesday series is closer because the 13/18 is closer to 0.5 than is 9/12. [removed] D. The series closest to the theoretical 50/50 cannot be determined without knowing the number of odds and evens in each series.
 Part 2 of 2 – 25.0/ 50.0 Points

 Question 21 of 40 0.0/ 2.5 Points

Which line of the three shown in the scatter diagram below fits the data best? [removed] A. A [removed] B. B [removed] C. C [removed] D. All the lines are equally good
 Question 22 of 40 2.5/ 2.5 Points

Which point below would be an outlier if it were on the following graph? [removed] A. (25, 20) [removed] B. (5, 12) [removed] C. (7, 5) [removed] D. (5, 3)
 Question 23 of 40 2.5/ 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?

 [removed] A. 0.8932 [removed] B. 0.8920 [removed] C. 0.9032 [removed] D. 0.9048
 Question 24 of 40 0.0/ 2.5 Points

Which graph has two groups of data, correlations within each group, but no correlation among all the data?

 [removed] A. [removed] B. [removed] C. [removed] D. Question 25 of 40 0.0/ 2.5 Points

Select the best estimate of the correlation coefficient for the data depicted in the scatter diagram. [removed] A. 0.60 [removed] B. -0.97 [removed] C. 0.10 [removed] D. -0.60
 Question 26 of 40 0.0/ 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. [removed] A. 1.14 to 1.88 [removed] B. 1.12 to 1.88 [removed] C. 1.12 to 1.98 [removed] D. 1.14 to 1.98
 Question 27 of 40 0.0/ 2.5 Points

Select the best estimate of the correlation coefficient for the data depicted in the scatter diagram. [removed] A. -0.9 [removed] B. 0.1 [removed] C. 0.5 [removed] D. 0.9
 Question 28 of 40 2.5/ 2.5 Points

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.

 [removed] A. 0.14 [removed] B. 0.26 [removed] C. 211 [removed] D. 0.23
 Question 29 of 40 0.0/ 2.5 Points

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.

 [removed] A. The variation in the x variable is a direct cause of the variation in the y variable. [removed] B. There is no correlation between the variables. [removed] C. The correlation is due to a common underlying cause. [removed] D. The correlation between the variables is coincidental.

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