MATHEMATICS

Question 19 of 20 0.0/ 5.0 Points

The table shows the end–of–the–month checking account balance of a statistics teacher for the months January 1999 through December 1999 as determined by the closing balance on the last banking day of the month. The balance is rounded to the nearest dollar.

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A.

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B.

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C.

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D. None of the above

Question 20 of 20 0.0/ 5.0 Points

Find the original data from the stem–and–leaf plot.

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A. 11, 18, 23, 23, 27, 33, 34, 38, 39, 43, 44

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B. 2, 9, 2, 2, 4, 8, 4, 4, 6, 11, 12, 7, 8, 12

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C. 13, 13, 14, 21, 21, 23, 27, 31, 31, 43, 44

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D. 11, 18, 21, 21, 23, 27, 31, 33, 33, 38, 39, 43, 44

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Exam 4

Part 1 of 2 – 30.0/ 50.0 Points

 

Question 1 of 40 2.5/ 2.5 Points

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?

 

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A. $1.00

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B. $0.00

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C. $3.00

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D. −$1.00

Question 2 of 40 2.5/ 2.5 Points

On a multiple choice test, each question has 6 possible answers. If you make a random guess on the first question, what is the probability that you are correct?

 

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A. 1/5

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B. 1/6

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C. 1/4

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D. 2/5

Question 3 of 40 0.0/ 2.5 Points

The data set represents the income levels of the members of a country club. Estimate the probability that a randomly selected member earns at least $98,000.

112,000 126,000 90,000 133,000 94,000 112,000 98,000 82,000 147,000 182,000 86,000 105,000

140,000 94,000 126,000 119,000 98,000 154,000 78,000 119,000

 

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A. 0.4

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B. 0.6

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C. 0.66

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D. 0.7

Question 4 of 40 0.0/ 2.5 Points

A study of 600 college students taking Statistics 101 revealed that 54 students received the grade of A. Typically 10% of the class gets an A. The difference between this group of students and the expected value is not significant at the 0.05 level. What does this mean in this case?

 

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A. The probability that the difference occurred due to chance is less than 0.05.

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B. The probability of getting an A is 10% and only 9% got an A in this study. The difference is less than 5% so it is not significant.

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C. There is not enough information to make any conclusion.

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D. The probability that the difference occurred due to chance is more than 0.05.

Question 5 of 40 0.0/ 2.5 Points

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?

 

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A. 8

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B. 6

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C. 5

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D. 4

Question 6 of 40 2.5/ 2.5 Points

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).

 

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A. 0.250

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B. 0.490

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C. 0.240

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D. 0.160

Question 7 of 40 2.5/ 2.5 Points

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.

 

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A. The second series is closer because the difference between odd and even numbers is greater than the difference for the first series.

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B. The first series is closer because the difference between odd and even numbers is less than the difference for the second series.

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C. Since 1/2 > 1/5 > 1/11, the first series is closer.

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D. The series closer to the theoretical 50/50 cannot be determined unless the total number of rolls for both series is given.

Question 8 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 that at least two heads occur consecutively?

 

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A. 1/8

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B. 3/8

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C. 5/8

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D. 6/8

Question 9 of 40 2.5/ 2.5 Points

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?

 

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A. 12

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B. 22

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C. 24

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D. 26

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