The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2808 and standard deviation 517. One randomly selected customer is observed to see how many calories X that customer consumes. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X N( 2808 V, 517 b. Find the probability that the customer consumes less than 2442 calories. 0.2395 c. What proportion of the customers consume over 3192 calories? 0.2288 d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the X calories. fewest number of calories a person must consume to receive the Piggy award? 4131 (Round to the nearest calorie)

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For D please, 

The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number or calories a person must consume to receive the Piggy award? ______ calories. (Round to the nearest calorie)

**Exercise: Understanding Normal Distribution**

The amount of calories consumed by customers at a Chinese buffet is normally distributed with a mean of 2808 calories and a standard deviation of 517 calories. We will examine the behavior of a randomly selected customer's calorie consumption.

a. **Distribution of X**: The variable X, representing calorie consumption, is normally distributed: X ~ N(2808, 517).

b. **Probability Calculation**: What is the probability that a customer consumes less than 2442 calories?
   - Probability: 0.2395

c. **Customer Proportion**: What proportion of customers consume over 3192 calories?
   - Proportion: 0.2288

d. **The Piggy Award**: This award is given to the 2% of customers who consume the most calories. Determine the minimum number of calories a person must consume to receive this award.
   - Minimum calories for the top 2%: 4131 calories (Note: An error is indicated here)

**Hint**: Enhance your understanding by exploring these helpful video resources:
- [Find a Probability](#)
- [Finding a Value Given a Probability](#)

Click "Submit Question" to test your understanding.
Transcribed Image Text:**Exercise: Understanding Normal Distribution** The amount of calories consumed by customers at a Chinese buffet is normally distributed with a mean of 2808 calories and a standard deviation of 517 calories. We will examine the behavior of a randomly selected customer's calorie consumption. a. **Distribution of X**: The variable X, representing calorie consumption, is normally distributed: X ~ N(2808, 517). b. **Probability Calculation**: What is the probability that a customer consumes less than 2442 calories? - Probability: 0.2395 c. **Customer Proportion**: What proportion of customers consume over 3192 calories? - Proportion: 0.2288 d. **The Piggy Award**: This award is given to the 2% of customers who consume the most calories. Determine the minimum number of calories a person must consume to receive this award. - Minimum calories for the top 2%: 4131 calories (Note: An error is indicated here) **Hint**: Enhance your understanding by exploring these helpful video resources: - [Find a Probability](#) - [Finding a Value Given a Probability](#) Click "Submit Question" to test your understanding.
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