Question 1) Consider the following data that shows types of car accidents for a month in a large city matched with the severity of the resulting; injuries. No Injuries 215 13 Minor Injuries 102 Serious Injuries Fatal Injuries 30 | 1 3 I RearEnd Collision lIcad-on Collision T-bonc ('ollisiou (a) \"hat type of collision (Rear-End. Headon. or Tbone) was most frequent? (b) What percentage of accidents in your study were Rear-End Collisions AND resulted in Minor Injuries? (c) What percentage of accidents in your study resulted in Serious Injuries ()R Fatal Injuries? ((1) Construct the conditional distribution based on the type of collision. (e) Which type of collision resulted in the HIGHEST rate of FATAL injuries? \"'hat was that rate? (f) \"'hiCh type of collision resulted in the HIGHEST combined rate of SERIOUS or FATAL in juries? \"'hat was that. rate? (5;) Which type of collision resulted in the HIGHEST rate of NO injuries:J What was that rate? Question 2) Suppose you roll a six sided dice labeled 1 through 6 and a four sided dice. labeled 1 through 4. You record the nonnegative difference of the two dice. In other words, you subtract the smaller number from the larger number you rolled. For example, if you roll a 2 on the six sided die and 3 0n the four sided die. you record a 1 (from 3 7 2 = 1). ()r if you roll a. 4 on the six sided die and a -'l on the {our sided die you record a 0 (from -'1 e $1 = (l). a) Write down a probability model for this experiment. That means write down all the possible outcomes and their associated probabilities. b) Calculate the probability you record an even number. (Remember: () is an even number) c) Calculate the probability you record a number less than 3. (1) Calculate the probability you record an even number AND a number less than 3. e) Calculate the probability you record an even number ()R a nmnber less than 3. f) Calculate the probability you record a number less than 6. g) Calculate the probability you do not record a 1. EXTRA CREDIT QUESTION: Suppose you roll three fair six-sided (lice and add them together. What is the probability you get a number less than 7