Assume that the probability of a being born with Genetic Condition B is p=11/30. A study looks at a random sample of 742 volunteers. Find the most likely number of the 742 volunteers to have Genetic Condition B. (Round answer to one decimal place.) U= Let X represent the number of volunteers (out of 742) who have Genetic Condition B. Find the standard deviation for the probability distribution of X. (Round answer to two decimal places.) Use the range rule of thumb to find the minimum usual value µ-20 and the maximum usual value µ+20. Enter answer as an interval using square-brackets only with whole numbers. usual values=

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 26E
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### Genetic Condition B Probability Analysis

**Problem Statement:**
Assume that the probability of being born with Genetic Condition B is \( p = \frac{11}{30} \). A study looks at a random sample of 742 volunteers.

**Objective 1:**
Find the most likely number of the 742 volunteers to have Genetic Condition B.  
- (Round answer to one decimal place.)

\[ \mu = \]

**Objective 2:**
Let \( X \) represent the number of volunteers (out of 742) who have Genetic Condition B. Find the standard deviation for the probability distribution of \( X \).  
- (Round answer to two decimal places.)

\[ \sigma = \]

**Objective 3:**
Use the range rule of thumb to find the minimum usual value \( \mu - 2\sigma \) and the maximum usual value \( \mu + 2\sigma \). Enter the answer as an interval using square brackets only with whole numbers.

\[ \text{usual values} = \]
Transcribed Image Text:### Genetic Condition B Probability Analysis **Problem Statement:** Assume that the probability of being born with Genetic Condition B is \( p = \frac{11}{30} \). A study looks at a random sample of 742 volunteers. **Objective 1:** Find the most likely number of the 742 volunteers to have Genetic Condition B. - (Round answer to one decimal place.) \[ \mu = \] **Objective 2:** Let \( X \) represent the number of volunteers (out of 742) who have Genetic Condition B. Find the standard deviation for the probability distribution of \( X \). - (Round answer to two decimal places.) \[ \sigma = \] **Objective 3:** Use the range rule of thumb to find the minimum usual value \( \mu - 2\sigma \) and the maximum usual value \( \mu + 2\sigma \). Enter the answer as an interval using square brackets only with whole numbers. \[ \text{usual values} = \]
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