Question

A sample of 35 oil industry executives was selected to test a questionnaire. One question about environmental issues required a yes or no answer.

2. Which of the following are possible events. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.)

• 12 people respond "Yes."unchecked
• 13 people respond "Yes."unchecked
• 29 people respond "No."unchecked
• 42 people respond "No."unchecked
• The questionnaire fails to reach one executive.

3. 18 of the 35 executives responded yes. Based on these sample responses, what is the probability that an oil industry executive will respond yes? (Round your answer to 2 decimal places.)

Probability

4. What concept of probability does this illustrate?

• Empirical

• Subjective

• Classical

5. Are each of the possible outcomes equally likely and mutually exclusive?

• The outcomes are not equally likely but are mutually exclusive.

• The outcomes are not equally likely and are also not mutually exclusive.

• The outcomes are equally likely and are also mutually exclusive.

• The outcomes are equally likely but are not mutually exclusive.

Answer 1

Part 1) The possible outcomes are

1. 12 people respond “Yes”
2. 13 people respond “Yes”
3. 29 people respond “No”

Since, total number of executives being interviewed is 35, so 42 people cannot give response, and the fact that questionnaire didn’t reach one of the executive has no significance in probability analysis.

Part 2) The probability is = (Number of favorable outcomes/Total number of possible outcomes)

Probability = 18/35 = 0.51

Part 3) The above represents empirical probability as it is calculated through actual experiment/trial.

Part 4) The outcomes are equally likely and are also mutually exclusive. Equally likely outcomes are those that has same probability. In the present case the probability of getting “Yes” as a response (0.5) is same as the probability of getting “No” as a response (0.5). Similarly, if an individual says Yes, the he cannot say No at the same time. Mutually exclusive outcomes are those that cannot occur together at the same time.