Assume that the probability of a being bor sample of 1168 volunteers. Find the most likely number of the 1168 va (Round answer to one decimal place.)
Assume that the probability of a being bor sample of 1168 volunteers. Find the most likely number of the 1168 va (Round answer to one decimal place.)
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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![## Understanding Genetic Condition Probability
### Overview
This exercise explores the probability of being born with Genetic Condition B among a sample of 1168 volunteers. The probability, \( p \), of having the condition is given as \( p = \frac{3}{20} \).
### Questions to Solve
1. **Most Likely Number of Volunteers:**
- **Task:** Calculate the most likely number of the 1168 volunteers to have Genetic Condition B.
- **Formula:** Use \( \mu = np \).
- **Round** the answer to one decimal place.
2. **Standard Deviation Calculation:**
- **Task:** Let \( X \) represent the number of volunteers (out of 1168) with Genetic Condition B. Find the standard deviation.
- **Formula:** Use \( \sigma = \sqrt{np(1-p)} \).
- **Round** the answer to two decimal places.
3. **Range Rule of Thumb:**
- **Task:** Determine the minimum and maximum usual values.
- **Method:** Use \( \mu \pm 2\sigma \) to find these values.
- **Presentation:** Enter the answer as an interval using square brackets, with whole numbers.
- **Usual Values:** \([ \text{minimum}, \text{maximum} ]\)
### Explanation
This exercise uses statistical concepts to estimate expected outcomes in a population based on given probabilities. It involves the calculation of expected value (mean), standard deviation, and range of typical values using the Range Rule of Thumb. These calculations are essential in understanding the dispersion and likelihood of genetic conditions within a specified group size.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f725b05-6985-474e-a031-937034e54c0f%2F4c232d2a-d1e4-4476-a373-3d05cdfb5c94%2Flxj9lxc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Understanding Genetic Condition Probability
### Overview
This exercise explores the probability of being born with Genetic Condition B among a sample of 1168 volunteers. The probability, \( p \), of having the condition is given as \( p = \frac{3}{20} \).
### Questions to Solve
1. **Most Likely Number of Volunteers:**
- **Task:** Calculate the most likely number of the 1168 volunteers to have Genetic Condition B.
- **Formula:** Use \( \mu = np \).
- **Round** the answer to one decimal place.
2. **Standard Deviation Calculation:**
- **Task:** Let \( X \) represent the number of volunteers (out of 1168) with Genetic Condition B. Find the standard deviation.
- **Formula:** Use \( \sigma = \sqrt{np(1-p)} \).
- **Round** the answer to two decimal places.
3. **Range Rule of Thumb:**
- **Task:** Determine the minimum and maximum usual values.
- **Method:** Use \( \mu \pm 2\sigma \) to find these values.
- **Presentation:** Enter the answer as an interval using square brackets, with whole numbers.
- **Usual Values:** \([ \text{minimum}, \text{maximum} ]\)
### Explanation
This exercise uses statistical concepts to estimate expected outcomes in a population based on given probabilities. It involves the calculation of expected value (mean), standard deviation, and range of typical values using the Range Rule of Thumb. These calculations are essential in understanding the dispersion and likelihood of genetic conditions within a specified group size.
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