There are 70 musicians in the group. 26 are play string instruments: 24 play percussion instruments; 20 play horns. 18 are selected to receive a $100 gift certificate. Leaving your answers in combinatorics formet, how many ways can all 18 musicians be selected such that they play the same type of instrument? O P(26,18) * P(24,18)* P(20,18) O C(26,18) * C(24,18)* C(20,18) O C(26,18)* C(44,0) + C(24,18)*C(46,0) + C(20,18)* C(50,0) O C(26,18)* C(44,0) + C(24,18)*C(46,0) + C(20,18)* C(50,0) C(70,18) QUESTION 11 There are 60 mountain climbers in a club. 10 of these have climbed Mt. Everest. 15 have climbed Mt. Rainier. 8 have climbed both. has climbed just one of these mountains, but not both? O 43 60 O 9 60 0 17 60 O 25 60 QUESTION 24 Mason students were asked about whether they preferred Online courses (O] or InPerson courses (). Student categories were Working Full Time (WH, Working Part Time WP) or Not Working [WWW). Using the data in the table, determine if Not Working is independent of preferring InPerson classes. History Working Full Working Not Working Total Time (MT) Part-Tim 200 InPerson (1 ] 300 Total 3140 O No, they are not independent events O Yes, they are independent events QUESTION 28 20% of a company's accidents occurred on the day shift (D] and the rest on the night shift (N). Of the accidents on the day shift, 40% had a machine cause. Of the accidents occurring on the night shift, 70% had a machine cause. Use M for "machine cause." Suppose an accident did not have a machine cause. What is the probal that it occurred on the night shift? O P(N n MS) = (0.80) * (0.30) P(N|Mc) = (0.80)*(0.30) (0.20)*(0.60) + (0.80)*(0.30) OP(MC | N) = (0.80)*(0.70) (0.20)*(0.60) + (0.80)*(0.30) O P(N) = 0.80