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The amount of water in a bottle is approximately normally distributed with a mean of 2.70...

The amount of water in a bottle is approximately normally distributed with a mean of 2.70 liters and a standard deviation of 0.045 liters.

What is the probability that an individual bottle contains less than 2.66 Liters?

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Answer #1

Solution :

Given that ,

mean = = 2.70

standard deviation = = 0.045

P(x < 2.66) = P((x - ) / < (2.66 - 2.70) / 0.045)

= P(z < -0.89)

= 0.1867

Probability = 0.1867

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