i need help answering these questions pls

Math 131 Name: Quiz 5 (Secs. 4.3, 4.4) Total Points: 16 INSTRUCTIONS: Show all work and good luck! Scan your completed quiz then submit the pdf under the Assignments tab in Canvas by 11:59pm on Friday, March 4th. 1. Professor Jones is in charge of a program to prepare people for a high school equivalency exam. Records show that 60% of the students need work in math, 70% need work in English, and 45% need work in both. a. Are the events 'need help in math' and 'need help in English' mutually exclusive? Explain. (2pts) iggot Jovaniby (Sas) how world foldiszoe sis e zabnile theyall 6 vren web in Jan b. If one student is chosen at random, what's the likelihood they need help in math or English? (2pts) 2. A researcher surveys 150 young athletes asking about the last sport the athlete played and whether or not the athlete was injured playing that sport. The data is summarized in the following table. get1 6 thebias 9 soly Sport Injured Not Injured Total Gymnastics 16 34 50 Soccer 5 30 35 Football 27 18 45 Skiing 7 13 20 Total 55 95 150 If an athlete is chosen at random, what's the likelihood the athlete: a. played soccer and was not injured? (1pt) |adro ton dreamer aula veerto aninemat sit mont a b. did gymnastics and was injured? (1pt) c. played football or was injured? (2pts)