1)The ages of a sample of Canadian tourists flying from Toronto to Hong Kong were: 32, 21, 60, 47, 54, 17, 72, 55, 33, 41, and 34.

  1. What is the mean and median age of the tourists?
  2. Compute the mean deviation and standard deviation.
  3. Compute the coefficient of variation (C.V) and the coefficient of skewness (SK) and comment of the shape of the distribution.
  4. Construct a box-plot.

2)There are 400 employees at a manufacturing company. A study about the employees of the company revealed the following

Gender / Smoke / Non-Smoke / Total
Male / 75 / 175 / 250
Female / 25 / 125 / 150
Total / 100 / 300 / 400
  1. What is the probability that an employee selected at random is a female?
  2. What is the probability that an employee selected at random is a male or smokes?
  3. What is the probability that an employee selected at random smokes, given that the employee is a male?

3)A survey of undergraduate students in a school of business revealed the following regarding the gender and majors of the students:

Major
Gender / Accounting / Management / Finance / Total
Male / 100 / 150 / 50 / 300
Female / 100 / 50 / 50 / 200
Total / 200 / 200 / 100 / 500
  1. What is the probability of selecting a female student?
  2. What is the probability of selecting a female or finance major?
  3. What is the probability of selecting an accounting major, given that the person selected is a male.

4)Box 1 contains 2 red balls and 1 blue ball. Box 2 contains 3 blues balls and 1 red ball. A coin is tossed. If it falls head up, box1 is selected and a ball is drawn. If it falls tail up, box 2 is selected and a ball is drawn. If the ball is red, what is the probability it came from box 2?

5)A shipment of two boxes, each containing six telephones, is received by a store. Box 1 contained one defective phone and box 2 contained two defective phones. After the boxes are unpacked, a phone is selected and found to be defective. Find the probability that it came from box 2.

6)Given a frequency distribution

Class / Frequency
0 up to 5 / 2
5 up to 10 / 7
10 up to 15 / 12
15 up to 20 / 6
20 up to 25 / 3

Estimate a) the arithmetic mean, b) the standard deviation of the distribution.

  1. Which of the following is a correct statement about a probability?
  1. It is between 0 and 1, inclusive.
  2. It may assume negative values.
  3. It may be greater than 1.
  4. It cannot be reported to more than 1 decimal place.
  1. Given a sample data set: 2, 3, 8, 4, 11, 9, 7. Which of the following is NOT correct
  1. The range is 9.
  2. The mean is 6.286
  3. Standard deviation is 3.352.
  4. Modal value is 11.
  1. Which of the following is NOT a type of probability
  1. Subjective
  2. Relative frequency
  3. Independent
  4. Classical
  1. Bayes' Theorem
  1. Is an example of subjective probability
  2. Can assume of value less than 0.
  3. Is used to revise a probability based on new or additional information.
  4. Is found by applying the complement rule.
  1. Which of the following are characteristics of normal distribution?
  1. It is a symmetric distribution.
  2. It is bell-shaped.
  3. It is asymptotic.
  4. All of the above.