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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2847 and standard deviation 621. 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( 2847 ✓ 621 من من b. Find the probability that the customer consumes less than 2509 calories. c. What proportion of the customers consume over 3140 calories? d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2847 and standard deviation 621. 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( 2847 ✓ 621 من من b. Find the probability that the customer consumes less than 2509 calories. c. What proportion of the customers consume over 3140 calories? d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Need help with b, c and d. Thank you.

The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2847 and standard deviation 621. 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( 2847 ✓ 621 or b. Find the probability that the customer consumes less than 2509 calories. 08 c. What proportion of the customers consume over 3140 calories? d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)
Transcribed Image Text:The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2847 and standard deviation 621. 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( 2847 ✓ 621 or b. Find the probability that the customer consumes less than 2509 calories. 08 c. What proportion of the customers consume over 3140 calories? d. The Piggy award will given out to the 2% of customers who consume the most calories. What is the fewest number of calories a person must consume to receive the Piggy award? calories. (Round to the nearest calorie)
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On letter B, how did you get 0.2931? I tried a couple of different things on the calculator but I wasn't able to figure out how you got that result. Thank you.

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