The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2639 and standard deviation 626. 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 2465 calories. c. What proportion of the customers consume over 2900 calories?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2639
and standard deviation 626. 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 2465 calories.
c. What proportion of the customers consume over 2900 calories?
d. The Piggy award will given out to the 3% 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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Transcribed Image Text:The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2639 and standard deviation 626. 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 2465 calories. c. What proportion of the customers consume over 2900 calories? d. The Piggy award will given out to the 3% 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) DELL DII F2 F3 prt sc home end insert dele F4 F5 F6 F7 F9 F10 F11 F12 23 $ % & 4. 5 7 8 9. R Y P. D F G J K L V M + || .. .. * 00 N エ < LO
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