3. (10:2,2,3,3) The number of people in a car when it gets to a college parking structure is described by the following distribution: Number of people Probability 0.40 2 0.25 3 0.20 4 0.12 5 a. Find the expected number of people in the cars going into the college parking structure. Extend the table above. b. Find the standard deviation for the number of people in the cars going into the college parking structure. Extend the table above. C. There are 125 cars currently in the parking structure. Find the probability that the total number of people in the cars going into the college parking structure is more than 180. This implies the average of more than 180/125. Hint: Use Central Limit Theorem