A sample of 125 is drawn from a population with a proportion equal to 0.42 and a population size of 400. a. Determine the probability of observing between 50 and 54 successes. b. Determine the probability of observing between 55 and 62 successes. c. Determine the probability of observing between 53 and 70 successes. .... a. The probability is. (Round to four decimal places as needed.) b. The probability is (Round to four decimal places as needed.) c. The probability is.(Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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### Probability Calculation from a Sample

**Scenario:**
A sample of 125 is drawn from a population with a proportion equal to 0.42 and a population size of 400.

**Tasks:**

1. **Determine the probability of observing between 50 and 54 successes.**
   - **The probability is:** [Input Box] (Round to four decimal places as needed)

2. **Determine the probability of observing between 55 and 62 successes.**
   - **The probability is:** [Input Box] (Round to four decimal places as needed)

3. **Determine the probability of observing between 53 and 70 successes.**
   - **The probability is:** [Input Box] (Round to four decimal places as needed)

**Instructions:**
- Use the information provided to calculate the probabilities as requested.
- Ensure that your answers are rounded to four decimal places.

### Explanation:
- The calculations will likely involve the use of statistical formulas or software tools to determine probabilities based on binomial or normal approximation methods.
- This exercise is useful for students learning about probability distributions and sampling techniques.
Transcribed Image Text:### Probability Calculation from a Sample **Scenario:** A sample of 125 is drawn from a population with a proportion equal to 0.42 and a population size of 400. **Tasks:** 1. **Determine the probability of observing between 50 and 54 successes.** - **The probability is:** [Input Box] (Round to four decimal places as needed) 2. **Determine the probability of observing between 55 and 62 successes.** - **The probability is:** [Input Box] (Round to four decimal places as needed) 3. **Determine the probability of observing between 53 and 70 successes.** - **The probability is:** [Input Box] (Round to four decimal places as needed) **Instructions:** - Use the information provided to calculate the probabilities as requested. - Ensure that your answers are rounded to four decimal places. ### Explanation: - The calculations will likely involve the use of statistical formulas or software tools to determine probabilities based on binomial or normal approximation methods. - This exercise is useful for students learning about probability distributions and sampling techniques.
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