1. Michael Jordan is considered by many the greatest basketball players, his career free-throw percentage is 83.5%. Lebron James is also considered by many a great basketball player, with a career free-throw percentage of 74.5%. If each player shot 100 free-throws what is the expected number of free-throws each player will make, give or take how many? 2. (Simulation) Is it possible for Lebron James to beat Michael Jordan in game of free-throw shooting? Run a simulation, to approximate the probability that Lebron James can beat Michael Jordan if each player will shoot 100 free-throws. Please describe in detail how this simulation was run, and record the results of at least twenty simulations of Lebron James and Michael Jordan shooting 100 free-throws. 3. To calculate the correct theoretical probability we need to use a normal model with a mean and standard deviation. To find the mean find the difference in their free-throw percentage. To find the standard deviation find the variance of each player first, and then add the variances together. The term variance is defined as the standard deviation squared, so variance=2. Using the newly formed values calculate the approximate probability that Lebron James will beat Michael Jordan in a game of free-throw shooting, with each player taking 100 shots. (Hint: Use the normal model)