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Without an automated irrigation system, the height of plants two weeks after germination is normally distributed with a mean of 2.5 centimeters and a standard deviation of 0.5 centimeters.

a) What is the probability that a plant's height is greater than 2.25 centimeters?

b) What is the probability that a plant's height is between 2.0 and 3.0 centimeters?

c) What height is exceeded by 90% of the plants?

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