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Simplytaylorgrenade
16.07.2020 •
Mathematics
A soda factory has a special manufacturing line to fill large bottles with 2 liters of their beverage. Every process is computerized. However, it doesn't always fill exactly 2 liters. It follows a normal distribution, witha mean of 1.98 liters and a variance of 0.0064 liters. If the amount of soda in a bottle is more than 1.5 standard deviations away from the mean, then it will be rejected. Find the probability that a randomly selected bottle is rejected.
A 0
B 0.04
C 0.07
D 0.13
E 0.
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Ответ:
And we can use the normal standard table and the complement rule and we got:
And the best answer would be:
C 0.07
Step-by-step explanation:
Let X the random variable who represent the amount of soda filled in large bottles and we know this:
And we want to find this probability:
And for this case we can use the z score formula given by:
And replacing we got:
And we can use the normal standard table and the complement rule and we got:
And the best answer would be:
C 0.07
Ответ:
This is just an easy way to estimate your answer