MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:**Educational Content: Understanding Probability and Normal Distribution**
**Scenario:**
The amount of time spent by North American adults watching television per day is normally distributed with a mean of 6 hours and a standard deviation of 1.5 hours.
**Questions:**
**a. Individual Probability:**
What is the probability that a randomly selected North American adult watches television for more than 7 hours per day?
**b. Sample Mean Probability:**
What is the probability that the average time watching television by a random sample of five North American adults is more than 7 hours?
**c. Sample Total Probability:**
What is the probability that in a random sample of five North American adults, all watch television for more than 7 hours per day?
**Explanations:**
- **Normal Distribution:** The scenario is based on a normal distribution with specific parameters: mean (μ) = 6 hours, standard deviation (σ) = 1.5 hours.
- **Probabilities:** Calculating these probabilities typically involves using Z-scores and statistical tables or software to find the areas under the normal distribution curve.
**Diagrams:**
- While no diagrams are directly provided, typically for such a problem, a bell curve illustrating the normal distribution showing the mean at 6 and marking 7 on the x-axis would be used to visualize the probabilities requested in parts a, b, and c.
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