1) A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance travelled on 1 gallon of fuel is normally distributed with a mean of 50 miles and a standard deviation of 5 miles. Find the probability of the following events: A. The car travels more than 54.85 miles per gallon. Probability = B. The car travels less than 44.55 miles per gallon. Probability = C. The car travels between 38.45 and 51.3 miles per gallon. Probability = 2) Find the mean, variance and standard deviation for the probability distribution given below: X -4 2 10 12 P(X) 0.563 0.105 0.2080.124 A. Mean = B. Variance = C. Standard Deviation =