1. Classify each of the following pairs of events as either mutually exclusive or non- mutually exclusive. I [Event A Event B la) [hitting a home run striking out E) Erdering a steak well-done ordering a medium rare steak lc) lrolling an 8 with a pair of dice rolling doubles with a pair of dice Id) lwearing shoes wearing boots [6) [Doing your homework Going swimming xactly one battery is defective At least one battery is defective lg) lTossing a 5 with two dice One of the dice has a 6 2. A company that manufactures flashlights knows that 3% of its daily production results in products with defective light bulbs, 5% have defective batteries, and 2% have both. If a flashlight is selected at random, what is the probability that the flashlight will have a defective bulb or a defective battery? 3. Daniel Briere. of the Philadelphia Flyers, had 32 goals and 63 assists last season. He played in 81 games. Are these events mutually exclusive? Why or why not? a. Using the results from last year, what is the probability he gets a goal in a single game? What is the probability he had an assist? b. Briere had a goal and an assist in 31% of his games. Find the probability he did not have a goal or an assist. 4. When 130 patients examined at a clinic, it was found that 90 had heart trouble, 50 had diabetes, and 30 had both diseases. Draw a Venn diagram to illustrate this problem. a. What is the probability that a patient had either heart disease or diabetes if that patient was selected at random? b. What is the probability the patient did not have heart trouble or diabetes