Joe drives through three traffic lights, A, B, and C. The probability that any one light is green is 0 and the probability that it is not green is 0.7. Use a simulation to answer questions below. Run 2000 trials. Assume that the lights operate independently. Part 1: What is the probability that Joe will find all traffic lights to be green? What is the probability that Joe will find at least one traffic light to be green? Part 2: Modify the problem to determine how long Joe takes to get to work if the following information is provided. The probabilities are green (0.30), yellow (0.20), and red (0.50). If it is yellow, then 1 out of 5 times, she makes it through the yellow light without stopping. If all lights are green, it takes her 15 minu to get to work. For each that is red, it adds two minutes to her trip. If she stops at a yellow light, it adds : minutes to her trip. On average how long will it take for Anne to get to work