Answer to Question #335723 in Statistics and Probability for Bing

Question #335723

The amount of lemonade in a 2 litre bottle is normally distributed with a mean of 2.1 liters and a standard deviation of 0.07 liters.The portion of bottles that actually contain more than 2 liters is ?

1
Expert's answer
2022-05-03T11:32:33-0400
P(X>2)=1P(ZXμσ)P(X>2)=1-P(Z\le\dfrac{X-\mu}{\sigma})

=1P(Z22.10.07)0.5568=1-P(Z\le\dfrac{2-2.1}{0.07})\approx0.5568

55.68%55.68\% of bottles actually contain more than 2 liters.


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