A survey asks 1500 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Fifty-five percent of those surveyed say they are reducing the amount of vacation. Twenty workers participating in the survey are randomly selected. The random variable represents the number of workers who a reducing the amount of vacation. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of n, p, and q, and list the possible values of the random variable x. Is the experiment a binomial expenment? O Yes O No What is a success in this experiment? Selecting a worker who is not reducing the amount of vacation Selecting a worker who is reducing the amount of vacation This is not a binomial experiment. Specify the value of n. Select the correct choice below and fill in any answer boxes in your choice. C A. n= 20 O B. This is not a binomial experiment. Specify the value of p. Select the correct choice below and fill in any answer boxes in your choice. O A. p= (Type an integer or a decimal.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Problem Description:**

A survey asks 1500 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Fifty-five percent of those surveyed say they are reducing the amount of vacation. Twenty workers participating in the survey are randomly selected. The random variable represents the number of workers who are reducing the amount of vacation. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of \( n \), \( p \), and \( q \), and list the possible values of the random variable \( x \).

---

**Questions and Answers:**

1. **Is the experiment a binomial experiment?**
   - Yes [selected]
   - No

2. **What is a success in this experiment?**
   - Selecting a worker who is not reducing the amount of vacation
   - Selecting a worker who is reducing the amount of vacation [selected]
   - This is not a binomial experiment.

3. **Specify the value of \( n \). Select the correct choice below and fill in any answer boxes in your choice.**
   - A. \( n = 20 \) [selected]
   - B. This is not a binomial experiment.

4. **Specify the value of \( p \). Select the correct choice below and fill in any answer boxes in your choice.**
   - A. \( p = \_\_ \) (Type an integer or a decimal.)
   - B. This is not a binomial experiment.

---

**Explanation:**

This survey situation is set up as a binomial experiment because it meets the criteria:
- There is a fixed number of trials (20 workers).
- Each trial has two possible outcomes: success (worker is reducing vacation) or failure (worker is not reducing vacation).
- The probability of success is the same for each trial (55% or 0.55).
- The trials are independent.
Transcribed Image Text:**Problem Description:** A survey asks 1500 workers, "Has the economy forced you to reduce the amount of vacation you plan to take this year?" Fifty-five percent of those surveyed say they are reducing the amount of vacation. Twenty workers participating in the survey are randomly selected. The random variable represents the number of workers who are reducing the amount of vacation. Decide whether the experiment is a binomial experiment. If it is, identify a success, specify the values of \( n \), \( p \), and \( q \), and list the possible values of the random variable \( x \). --- **Questions and Answers:** 1. **Is the experiment a binomial experiment?** - Yes [selected] - No 2. **What is a success in this experiment?** - Selecting a worker who is not reducing the amount of vacation - Selecting a worker who is reducing the amount of vacation [selected] - This is not a binomial experiment. 3. **Specify the value of \( n \). Select the correct choice below and fill in any answer boxes in your choice.** - A. \( n = 20 \) [selected] - B. This is not a binomial experiment. 4. **Specify the value of \( p \). Select the correct choice below and fill in any answer boxes in your choice.** - A. \( p = \_\_ \) (Type an integer or a decimal.) - B. This is not a binomial experiment. --- **Explanation:** This survey situation is set up as a binomial experiment because it meets the criteria: - There is a fixed number of trials (20 workers). - Each trial has two possible outcomes: success (worker is reducing vacation) or failure (worker is not reducing vacation). - The probability of success is the same for each trial (55% or 0.55). - The trials are independent.
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