Big chickens: The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1387 grams and standard deviation 192 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1150 and 1308 grams? (b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places. Part 1 of 3 The proportion of broilers that weigh between 1150 and 1308 grams is Part 2 of 3 X The probability that a randomly selected broiler weighs more than 1510 grams is. Part 3 of 3 (Choose one) ▼ because the probability that a broiler weighs more than 1610 grams is 5 S

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### Educational Website Content: Understanding Normal Distribution of Broiler Weights

### Big Chickens: Weight Distribution Analysis

The weights of broilers (commercially raised chickens) are approximately normally distributed with a mean of 1387 grams and a standard deviation of 192 grams. Use the TI-84 Plus calculator to analyze and answer the following questions:

#### Questions
1. **What proportion of broilers weigh between 1150 and 1308 grams?**
2. **What is the probability that a randomly selected broiler weighs more than 1510 grams?**
3. **Is it unusual for a broiler to weigh more than 1610 grams?**

#### Instructions
Round your answers to at least four decimal places.

#### Part 1 of 3
**Question:**
What proportion of broilers weigh between 1150 and 1308 grams is __________.

*Calculate the proportion of broilers using the normal distribution rules and enter your answer in the provided field.*

#### Part 2 of 3
**Question:**
The probability that a randomly selected broiler weighs more than 1510 grams is __________.

*Use the normal distribution formula to determine this probability and input your answer.*

#### Part 3 of 3
**Question:**
Choose one (option) because the probability that a broiler weighs more than 1610 grams is __________.

*Select the correct option based on your calculated probability and explain if this weight is unusual or not.*

**Options:**
1. ( ) Usual because the probability is below a commonly accepted threshold.
2. ( ) Unusual because the probability is above a commonly accepted threshold.

**Note:** This content ensures you understand how to apply the normal distribution to real-world data, particularly in the context of agricultural science and commercial farming. The accompanying diagrams or graphs (if any) would visually represent the normal distribution curve and indicate the areas corresponding to the specific weights mentioned.

**Save and Continue:**
Click the "Continue" button after filling in all the answers and making the appropriate selection to submit your assignment.

### Graph Explanation
If a normal distribution curve is provided:
1. **Mean and Standard Deviation:**
   - The center point of the curve represents the mean weight of 1387 grams.
   - The spread of the curve is determined by the standard deviation of 192 grams.

2. **Shaded Regions:**
   - The region between 1150 and 1308 grams will be
Transcribed Image Text:### Educational Website Content: Understanding Normal Distribution of Broiler Weights ### Big Chickens: Weight Distribution Analysis The weights of broilers (commercially raised chickens) are approximately normally distributed with a mean of 1387 grams and a standard deviation of 192 grams. Use the TI-84 Plus calculator to analyze and answer the following questions: #### Questions 1. **What proportion of broilers weigh between 1150 and 1308 grams?** 2. **What is the probability that a randomly selected broiler weighs more than 1510 grams?** 3. **Is it unusual for a broiler to weigh more than 1610 grams?** #### Instructions Round your answers to at least four decimal places. #### Part 1 of 3 **Question:** What proportion of broilers weigh between 1150 and 1308 grams is __________. *Calculate the proportion of broilers using the normal distribution rules and enter your answer in the provided field.* #### Part 2 of 3 **Question:** The probability that a randomly selected broiler weighs more than 1510 grams is __________. *Use the normal distribution formula to determine this probability and input your answer.* #### Part 3 of 3 **Question:** Choose one (option) because the probability that a broiler weighs more than 1610 grams is __________. *Select the correct option based on your calculated probability and explain if this weight is unusual or not.* **Options:** 1. ( ) Usual because the probability is below a commonly accepted threshold. 2. ( ) Unusual because the probability is above a commonly accepted threshold. **Note:** This content ensures you understand how to apply the normal distribution to real-world data, particularly in the context of agricultural science and commercial farming. The accompanying diagrams or graphs (if any) would visually represent the normal distribution curve and indicate the areas corresponding to the specific weights mentioned. **Save and Continue:** Click the "Continue" button after filling in all the answers and making the appropriate selection to submit your assignment. ### Graph Explanation If a normal distribution curve is provided: 1. **Mean and Standard Deviation:** - The center point of the curve represents the mean weight of 1387 grams. - The spread of the curve is determined by the standard deviation of 192 grams. 2. **Shaded Regions:** - The region between 1150 and 1308 grams will be
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