Suppose that weights of males in my family are N(250,24) where 250 and 24 are in pounds. I weigh 230 pounds. The percentage of males in my family that weigh more than me and less than my brother is 35%. How much does my brother weigh?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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**Transcription for Educational Website:**

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**Problem Statement:**

Suppose that the weights of males in my family are normally distributed as N(250, 24), where 250 and 24 are in pounds. I weigh 230 pounds. The percentage of males in my family that weigh more than me and less than my brother is 35%. How much does my brother weigh?

**Analysis:**

- **Understanding the Distribution**: The normal distribution N(250, 24) indicates the mean weight is 250 pounds, and the variance is 24 pounds. This is a continuous probability distribution often used in statistics for real-valued random variables.

- **Data Given**: 
   - Your weight: 230 pounds.
   - Desired percentage: 35%.

- **Objective**: Determine the weight of your brother given the percentage of males that weigh more than you but less than him.

**Steps to Solve**:
1. Identify the Z-score corresponding to the weights.
2. Use the normal distribution properties to relate the percentages.
3. Calculate the weight of the brother using statistical methods based on these insights.

Note: Calculating this requires understanding of statistical methods such as Z-scores and probability percentiles in a normal distribution.

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Transcribed Image Text:**Transcription for Educational Website:** --- **Problem Statement:** Suppose that the weights of males in my family are normally distributed as N(250, 24), where 250 and 24 are in pounds. I weigh 230 pounds. The percentage of males in my family that weigh more than me and less than my brother is 35%. How much does my brother weigh? **Analysis:** - **Understanding the Distribution**: The normal distribution N(250, 24) indicates the mean weight is 250 pounds, and the variance is 24 pounds. This is a continuous probability distribution often used in statistics for real-valued random variables. - **Data Given**: - Your weight: 230 pounds. - Desired percentage: 35%. - **Objective**: Determine the weight of your brother given the percentage of males that weigh more than you but less than him. **Steps to Solve**: 1. Identify the Z-score corresponding to the weights. 2. Use the normal distribution properties to relate the percentages. 3. Calculate the weight of the brother using statistical methods based on these insights. Note: Calculating this requires understanding of statistical methods such as Z-scores and probability percentiles in a normal distribution. ---
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