The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2999 and standard deviation 589. 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( 2999 589 b. Find the probability that the customer consumes less than 2700 calories. c. What proportion of the customers consume over 3134 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? 4369 calories. (Round to the nearest calorie)

MATLAB: An Introduction with Applications
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The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean
2999 and standard deviation 589. 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( 2999
589
b. Find the probability that the customer consumes less than 2700 calories.
c. What proportion of the customers consume over 3134 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? 4369
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 2999 and standard deviation 589. 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( 2999 589 b. Find the probability that the customer consumes less than 2700 calories. c. What proportion of the customers consume over 3134 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? 4369 calories. (Round to the nearest calorie)
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