Answer Happy

Problem 6. The mean (average) lifetime of batteries produced by a manufacturer is x = 50 hours with a standard deviation S = 1 hour. Use Chebyshev's theorem and the empirical rule (where appropriate) to answer the following questions. I a. What fraction of batteries have a lifetime between 48 and 52 hours? Note that no information is given about the shape of the distribution. Show your work. b. How does your answer to part (a) change if the distribution is bell-shaped? Show your work by drawing a bell-shaped distribution that includes your answer. c. What fraction of batteries have a lifetime between 47 and 53 hours? Note that no information is given about the shape of the distribution. Show your work. d. How does your answer to part (c) change if the distribution is bell-shaped? Show your work by drawing a bell-shaped distribution that includes your answer.