A cola beverage company claims that their cans are filled with 16.00 ounces of cola. The company also states that the fill of the cola cans follows a Gamma distribution with a shape parameter of 256000 and a rate parameter of 16000. Mark doesn't want to pay for 16 ounces of soda unless he is getting at least that much soda. Thus, he samples 34 cola cans from this beverage company to test their claim. What is the probability that the average fill of the sampled soda cans is greater than 16.01 ounces?

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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A cola beverage company claims that their cans are filled with 16.00 ounces of cola. The
company also states that the fill of the cola cans follows a Gamma distribution with a
shape parameter of 256000 and a rate parameter of 16000. Mark doesn't want to pay for 16
ounces of soda unless he is getting at least that much soda. Thus, he samples 34 cola cans
from this beverage company to test their claim. What is the probability that the average
fill of the sampled soda cans is greater than 16.01 ounces?
Transcribed Image Text:A cola beverage company claims that their cans are filled with 16.00 ounces of cola. The company also states that the fill of the cola cans follows a Gamma distribution with a shape parameter of 256000 and a rate parameter of 16000. Mark doesn't want to pay for 16 ounces of soda unless he is getting at least that much soda. Thus, he samples 34 cola cans from this beverage company to test their claim. What is the probability that the average fill of the sampled soda cans is greater than 16.01 ounces?
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