The masses in grams of pennies minted in the United States after 1982 are normally distributed with the mean of 2.50g and a standard deviation of 0.02 g. 1. Find the probability that a randomly chosen penny has a mass less than 2.54 g.
2. Find the probability that a randomly chosen penny has a mass greater than 2.44 g.
3. For data described by a normal distribution, how do the mean and median compare?
4. What does the symmetry of the normal distribution tell you about the areas above and below the mean?
5. How can you tell if data follow a normal distribution by looking at a histogram of the data?
Essential Question How do you find percents of data and probabilities of events associated with normal
distributions?