Step 1 :The area under the standard normal probability distribution between two z-scores can be found by calculating the cumulative distribution function (CDF) at the two z-scores and subtracting the smaller from the larger. The CDF of a standard normal distribution at a given z-score gives the probability that a random variable from the distribution is less than or equal to that z-score.
Step 2 :Let's consider the z-scores z1 = 0 and z2 = 3.0.
Step 3 :The area under the standard normal probability distribution between these two z-scores is approximately 0.499.
Step 4 :This means that there is a 49.9% chance that a random variable from a standard normal distribution will fall between these two z-scores.
Step 5 :Final Answer: The area under the standard normal probability distribution between \(z=0\) and \(z=3.00\) is approximately \(\boxed{0.499}\).