A pharmaceutical company produces capsules with active ingredient content that is normally distributed with a mean of 250 milligrams and a standard deviation of 15 milligrams. The manufacturer wishes to know what portion of their product is above a certain threshold due to a known toxicity risk at the recommended dosage frequency.   What is the probability a randomly selected capsule contains active ingredient content greater than 300 milligrams?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.