STAT 263 Class Assignment 4 (20 points) 1. If two events A and B are mutually exlcusive. then the PM or B) = 2. If two events A and B are mutually exlcusive, then the PM and B) = 3. If two events A and B are independent, then the HA and B) = 4. Laura is playing Monopoly. On her next move she needs to throw a sum bigger than 8 on the two dice in order to land on her own property and pass Go. What is the probability that Laura will roll a sum bigger than 8? 5. Consider events A and B are two events in the sample space, where the PM) = {1? and HR) = 6.4. Can events A and B be mutually exclusive? Explain. 6. Consider the following events for a driver selected at random from the general population: A = driver is under 25 years old B= driver has received a speeding ticket Translate each of the following phrases into probability symbols a) The probability the driver hm received a speeding ticket and is under 25 years old. b) The probability the driver is either under 25 years old or received a speeding ticket. STAT 263 Class Assignment 4 (20 points) 1:) The probability the driver is over 25 years old and received a speeding ticket. d) The probability the driver did not receive a speeding ticket and is under 25 years old. 3". You roll two fair dice, a green one and a red one. a. Are the outcomes on the dice independent? b. Find the probability we observe 5 on the green die and 3 on the red die. c. Find the probability we observe 3 on the green die and 5 on the red die. d. Find the P{ {5 on green die and 3 on red die} or [3 on green die and 5 onred die)}