Final answer:
The correct representation of the distribution for the birth weights of full-term babies is N(3000, 700), where 3000 is the mean, and 700 is the standard deviation.
Step-by-step explanation:
The correct representation of the distribution for full-term babies' birth weights is N(3000, 700). This notation specifies a normal distribution where 3000 is the mean (average) weight in grams, and 700 is the standard deviation, which measures how much the weights vary around the mean.
To express a normal distribution, the notation N(mean, standard deviation) is used. The mean is the central value around which the distribution is centered, and the standard deviation indicates the typical deviation from the mean. The standard deviation is always a positive number and never squared, so option d, which expresses the variance, is incorrect. Therefore, the correct answer to represent the distribution of full-term babies' birth weights is option a. N(3000, 700).