The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2781 and standard deviation 500. 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( b. Find the probability that the customer consumes less than 2516 calories. c. What proportion of the customers consume over 2908 calories?

A First Course in Probability (10th Edition)
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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean
2781 and standard deviation 500. 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(
b. Find the probability that the customer consumes less than 2516 calories.
c. What proportion of the customers consume over 2908 calories?
d. The Piggy award will given out to the 1% 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 2781 and standard deviation 500. 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( b. Find the probability that the customer consumes less than 2516 calories. c. What proportion of the customers consume over 2908 calories? d. The Piggy award will given out to the 1% 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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