n 2819 and star to se mal places wher e how ma

MATLAB: An Introduction with Applications
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Please answer B, C, & D. 

The amount of calories consumed by customers at the Chinese buffet is normally
distributed with mean 2819 and standard deviation 692. 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( 2819
692
b. Find the probability that the customer consumes less than 2468 calories.
c. What proportion of the customers consume over 3164 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)
Transcribed Image Text:The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2819 and standard deviation 692. 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( 2819 692 b. Find the probability that the customer consumes less than 2468 calories. c. What proportion of the customers consume over 3164 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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