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)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question

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)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

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.

Solution
Bartleby Expert
SEE SOLUTION
Follow-up Question

There's a symbol that I don't recognize, what does it mean? What number does it represent? Thank you.

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt