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?
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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