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#### Question 1 (5 points)

Determine whether the distribution is a probability distribution. State why or why not.

Question 1 options:

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#### Question 2 (5 points)

A box contains ten \$1 bills, five \$2 bills, three \$5 bills, one \$10 bill, and one \$100 bill. A person is charged \$20 to select one bill. Find the expected value. Is the game fair?
Write the expected value then a comma then either yes or no.

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#### Question 3 (5 points)

A survey found that 25% of pet owners had their pets bathed professionally rather than doing it themselves. If 18 owners are randomly selected, find the probability that exactly five people have their pets bathed professionally. [Round your answer to four significant digits]

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#### Question 4 (5 points)

If 75% of nursing students are able to pass a drug calculation test, find the mean of the number of students who pass the test in a sample of 180 nursing students. Write the number only.

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#### Question 5 (5 points)

If 75% of nursing students are able to pass a drug calculation test, find the variance of the number of students who pass the test in a sample of 180 nursing students. Do not round your answer. Write the number only.

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#### Question 6 (5 points)

If 75% of nursing students are able to pass a drug calculation test, find the standard deviation of the number of students who pass the test in a sample of 180 nursing students. Round your answer to two significant digits. Write the number only.

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#### Question 7 (5 points)

What is the sum of probabilities of all outcomes in a probability distribution?

Question 7 options:

 b) 1/2

 c) 1

 d) cannot be determined

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#### Question 8 (5 points)

If Z is a standard normal variable, find the probability that Z is greater than 0.59. P(Z > 0.59)

Question 8 options:

 b) 0.2224

 c) 0.219

 d) 0.2776

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#### Question 9 (5 points)

The expected value is most similar to the

Question 9 options:

 b) median

 c) variance

 d) standard deviation

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#### Question 10 (5 points)

The mean = 22.0 and the standard deviation = 2.4. Find the probability that X is between 19.7 and 25.3.

Question 10 options:

 b) 0.7477

 c) 0.4107

 d) 0.337

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#### Question 11 (5 points)

All Florida high schools require their students to demonstrate competence in mathematics by scoring a 70 or above on the FCAT mathematics achievement test. The FCAT math scores of those students taking the test for the first time are normally distributed with a mean of 77 and a standard deviation of 7.3. What percentage of students who take the test for the first time will pass the test?

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#### Question 12 (5 points)

According to the American Dental Association, 60% of all dentists use nitrous oxide (laughing gas) in their practice. What is the missing number in the table?

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#### Question 13 (5 points)

The volumes of soda in quart bottles are normally distributed with a mean of 32.3 ounces and a standard deviation of 1.2 ounces. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 ounces? Do not round your answer.

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#### Question 14 (15 points)

A study of book reviews in American History, geography, and area studies published in Choice magazine. The overall rating stated in each review was ranked form 1 - would not recommend to 5 - outstanding contribution. Based on a sample of 375 book reviews, the probability distribution rating, x, follows.
Match the correct answer to the questions

Question 14 options:

 12345 What is the probability that a book reviewed in Choice has a rating of 1? 12345 What is the missing number? 12345 What is the probability that a book reviewed in Choice has a rating of at least 4? 12345 What is the probability that a book reviewed in Choice has a rating of 2 or 3? 12345 Find the mean of the distribution
 1 0.635 2 0.051 3 0.757 4 0.192 5 3.768
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#### Question 15 (5 points)

The owner of a fish market determined that the average weight for salmon is 12.3 pounds with a standard deviation of 2 pounds. Assuming the weights of salmon are normally distributed, the probability that a randomly selected salmon will weigh between 12 and 15 pounds is what?

Question 15 options:

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#### Question 16 (10 points)

Psychology students at Wittenburg University completed the Dental Anxiety Scale questionnaire. Scores on the scale range from 0 (no anxiety) to 20 (extreme anxiety). The mean score was 11 and the standard deviation was 3.5. Assume that the distribution of all scores on the Dental Anxiety Scale is normally distributed. Match the question with the correct answer.

Question 16 options:

 123 Suppose you score a 16 on the Dental Anxiety Scale. Find the z value for this score. 123 Find the probability that someone scores above a 17 on the Dental Anxiety Scale. 123 Find the probability that someone scores below 17 on the Dental Anxiety Scale.
 1 1.43 2 0.9564 3 0.0436
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#### Question 17 (5 points)

The serum cholesterol levels for men in one age group are normally distributed with a mean of 178.1 and a standard deviation of 40.8. All units are in mg/100mL. Find the two levels that separate the top 9% and the bottom 9%. Round each answer to two decimal places. Write the smallest value then a comma then the largest value.

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