The amount of water in a bottle is approximately normally distributed with a mean of 2.40 liters with a standard deviation of 0.045 liter. Complete parts (a) through (e) below. a. What is the probability that an individual bottle contains less than 2.36 liters? (Round to three decimal places as needed.)

Step 1 ：The problem is asking for the probability that a bottle contains less than 2.36 liters. This is a question about the normal distribution. The normal distribution is defined by two parameters: the mean (μ) and the standard deviation (σ). In this case, the mean is 2.40 liters and the standard deviation is 0.045 liters.

Step 2 ：To find the probability that a bottle contains less than 2.36 liters, we need to find the z-score for 2.36 liters. The z-score is a measure of how many standard deviations an element is from the mean. It is calculated as (X - μ) / σ, where X is the value we are interested in, μ is the mean, and σ is the standard deviation.

Step 3 ：Once we have the z-score, we can use a z-table or a statistical function to find the probability associated with that z-score. The probability will tell us the likelihood that a bottle contains less than 2.36 liters.

Step 4 ：Given that the mean is 2.4, the standard deviation is 0.045, and the value we are interested in is 2.36, we can calculate the z-score as follows: \( z = \frac{2.36 - 2.4}{0.045} = -0.8888888888888897 \)

Step 5 ：Using a z-table or a statistical function, we find that the probability associated with a z-score of -0.8888888888888897 is approximately 0.187 or 18.7%. This means that about 18.7% of the bottles will contain less than 2.36 liters of water.

Step 6 ：Final Answer: The probability that an individual bottle contains less than 2.36 liters is approximately \(\boxed{0.187}\) or \(\boxed{18.7\%}\).