amc2412
18.03.2020 •
Mathematics
. Ketchup An automatic filling machine in a factory fills bottles of ketchup with a mean of 16.1 oz and a standard deviation of 0.05 oz with a distribution that can be well modeled by a Normal model. What is the probability that your bottle of ketchup contains less than 16 oz
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Ответ:
0.9772
Step-by-step explanation:
The machine in the factory fills bottles of ketchup with a mean of 16.1 oz and a standard deviation of 0.05 oz.
We want to find the probability that a bottle of ketchup contains less than 16 oz.
We find the z-score of x=16.1 using
We substitute to get;
We read read the area corresponding to 2.0 on the standard normal distribution table to get:
P(X≤16.1)=0.9772
Ответ:
212 x 314 = 66,568
A total of 66,568 L would be used.
Hope it helps!