The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2965 and standard deviation 591. 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( 2965 591 b. Find the probability that the customer consumes less than 2806 calories 0 3910

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* 00
The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2965
and standard deviation 591. 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( 2965
591
b. Find the probability that the customer consumes less than 2806 calories. 0.3940
c. What proportion of the customers consume over 3073 calories? 0.4275
d. The Piggy award will given out to the 3% of customers who consume the most calories. What is the fewest
calories. (Round to the
number of calories a person must consume to receive the Piggy award?|
Enter an integer or decimal number, accurate to at least 4 decimal pl
nearest calorie)
Hint:
Helpful videos:
• Find a Probability 2 [+]
• Finding a Value Given a Probability [+]
Hint
We
Okay
&
#
$
10
3.
4.
R.
B.
N
C.
Transcribed Image Text:* 00 The amount of calories consumed by customers at the Chinese buffet is normally distributed with mean 2965 and standard deviation 591. 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( 2965 591 b. Find the probability that the customer consumes less than 2806 calories. 0.3940 c. What proportion of the customers consume over 3073 calories? 0.4275 d. The Piggy award will given out to the 3% of customers who consume the most calories. What is the fewest calories. (Round to the number of calories a person must consume to receive the Piggy award?| Enter an integer or decimal number, accurate to at least 4 decimal pl nearest calorie) Hint: Helpful videos: • Find a Probability 2 [+] • Finding a Value Given a Probability [+] Hint We Okay & # $ 10 3. 4. R. B. N C.
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