A Free response section: show all work clearly Use the following information for questions 1-2. A bag contains 20 pieces of Starbursts, of which 13 are pink. Two Starbursts are drawn from the bag, without replacement. Let X = the number of pink Starbursts selected. 1. (6 points). Construct a probability distribution for the number of pink Starbursts selected. 2. (6 points) Find the mean and standard deviation of the number of pink Starbursts selected. Use the following information for questions 3-4 The time spent working out at the gym per month follows a normal distribution with a mean wait time of 55 hours and standard deviation 2.5 hours. 3. (5) What is the probability that a person selected at random will work out between 52 and 60 hours in a month? 4. (5) The 8% of people who work out the longest in a month spend at least how much time at the gym