Final answer
The probability that a person selected at random consumes more than 16 liters per month is 0.4772.
Step-by-step explanation
The given data is for the average number of liters of fresh milk consumed by a person in a month is 18 liters, with a standard deviation of 4.5 liters and the distribution is approximately normal. To find the probability that a person selected at random consumes more than 16 liters per month, we need to calculate the area to the right of 16 liters under the normal curve.
To calculate the area under the normal curve, we need to calculate the z-score for 16 liters. The z-score is calculated as z = (x-μ)/σ, where x = 16, μ = 18 and σ = 4.5. Therefore, z = (16-18)/4.5 = -2/4.5 = -0.4444.
We can use the z-score table to find the area to the right of -0.4444. The area to the right of -0.4444 is 0.4772.
Therefore, the probability that a person selected at random consumes more than 16 liters per month is 0.4772.