6. The length of similar components produced by a company are approximated by a normal distribution model with a mean of 5 cm and a standard deviation of 0.02 cm. If a component is chosen at random a) What is the probability that the length of this component is between 4.98 and 5.02 cm? b) What is the probability that the length of this component is between 4.96 and 5.04 cm?

c) You can find the answers to part a with the normal distribution and by using the Empirical rule. Find the answers to part a and b by the method you did not use already and compare answers.