In each of 12 races, the Democrats have a 60% chance of winning. Assume the races are independent of each other. Round your answers to three decimal places. a. What characteristics of this scenario indicate that you are working with Bernoulli trials? (3 points) b. What is the mean and standard deviation of the number of races won? (3 points) c. What is the probability that the Democrats will win the 7th race? (1 point) d. What is the probability that the Democrats will win all 12 races? (2 points) Do not make these calculations by hand. Instead, use the proper command in your graphing calculator, unless otherwise noted. Write out what you entered in your calculator. If you complete the probabilities by hand, you will receive no credit for that part of the problem. e. What is the probability that the Democrats will win exactly 8 races? (2 points) f. What is the probability that the Democrats will win at most 5 races? (2 points) g. What is the probability that the Democrats will win at least 4 races? (2 points) h. What is the probability that the Democrats will win between 5 and 9 races (inclusive)? (3 points) i. What is the probability that the Democrats will win at least one race? Round this answer to six decimal places. (2 points) j. What is the probability that the Democrats will win a majority of the races? (2 points)