Write the normal probability for the shaded region of the graph and find its value. Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed.) OA. P(5
Write the normal probability for the shaded region of the graph and find its value. Select the correct choice below and fill in the answer box within your choice. (Round to four decimal places as needed.) OA. P(5
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Write the normal probability for the shaded region of the graph and find its value. Select the correct - Write the binomial probability and the normal probability for the shaded region of the graph. Find the value of each probability and compare the results. n=16 p=0.55
q=0.45
choice below and fill in the answer box within your choice.
_______(Round to four decimal places as needed.)
![**Title: Understanding Binomial and Normal Probability**
**Objective:**
Learn how to calculate binomial and normal probabilities for a given range and compare the results.
**Task:**
Calculate the binomial probability and the normal probability for the shaded region of the graph.
**Graph Description:**
- The graph on the top right shows a binomial distribution with parameters \( n = 16 \) (number of trials) and \( p = 0.55 \) (probability of success).
- The x-axis represents the number of successes (ranging from 0 to 16) and the y-axis represents the probability \( P(x) \).
- A shaded area on the graph indicates the region corresponding to probabilities between specific values.
**Binomial Probability Calculation:**
1. \(\text{C. } P(6 < x < 8) = P(7) = \_\_\_ \)
2. \(\text{D. } P(6 \leq x \leq 8) = P(6) + P(7) + P(8) = 0.3885\) (This option is selected)
**Normal Probability Calculation:**
Determine the normal probability for the shaded region of the graph. Each choice represents a different interval for calculation. Round your answer to four decimal places.
- **Options:**
- \( \text{A. } P(5 < x < 9) = P(5.5 \leq x \leq 9.5) = \_\_\_ \)
- \( \text{B. } P(6 \leq x \leq 8) = P(5.5 \leq x \leq 8.5) = \_\_\_ \)
- \( \text{C. } P(6 < x < 8) = P(6.5 < x < 7.5) = \_\_\_ \)
- \( \text{D. } P(5 \leq x \leq 9) = P(4.5 \leq x \leq 9.5) = \_\_\_ \) (This option requires a value to be filled)
**Instructions:**
1. Select the correct choice based on your calculations and provide the probability value.
2. Use the provided graph and options to guide your calculations.
**Conclusion:**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F345779e7-6794-42be-ac7a-69d137dc5b34%2F4ca946c2-262a-4533-b53d-725eef4b53d8%2F6aqml6j_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Understanding Binomial and Normal Probability**
**Objective:**
Learn how to calculate binomial and normal probabilities for a given range and compare the results.
**Task:**
Calculate the binomial probability and the normal probability for the shaded region of the graph.
**Graph Description:**
- The graph on the top right shows a binomial distribution with parameters \( n = 16 \) (number of trials) and \( p = 0.55 \) (probability of success).
- The x-axis represents the number of successes (ranging from 0 to 16) and the y-axis represents the probability \( P(x) \).
- A shaded area on the graph indicates the region corresponding to probabilities between specific values.
**Binomial Probability Calculation:**
1. \(\text{C. } P(6 < x < 8) = P(7) = \_\_\_ \)
2. \(\text{D. } P(6 \leq x \leq 8) = P(6) + P(7) + P(8) = 0.3885\) (This option is selected)
**Normal Probability Calculation:**
Determine the normal probability for the shaded region of the graph. Each choice represents a different interval for calculation. Round your answer to four decimal places.
- **Options:**
- \( \text{A. } P(5 < x < 9) = P(5.5 \leq x \leq 9.5) = \_\_\_ \)
- \( \text{B. } P(6 \leq x \leq 8) = P(5.5 \leq x \leq 8.5) = \_\_\_ \)
- \( \text{C. } P(6 < x < 8) = P(6.5 < x < 7.5) = \_\_\_ \)
- \( \text{D. } P(5 \leq x \leq 9) = P(4.5 \leq x \leq 9.5) = \_\_\_ \) (This option requires a value to be filled)
**Instructions:**
1. Select the correct choice based on your calculations and provide the probability value.
2. Use the provided graph and options to guide your calculations.
**Conclusion:**
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