complete work may receive no credit. 1. A survey of 250 people at a college found the following information on course enrollment. 127 were enrolled in math 119 were enrolled in art 122 were enrolled in science 56 were enrolled in math and art 63 were enrolled in science and art 79 were enrolled in science and math 37 were enrolled in all 3 Math, Art, Science a) Construct a Venn diagram to display the above information (5pts) M A 29 19 37 42 37 e 26 WORK: 127-19-37-42 = 29 119-19-37-26 = 37 laa-42-37-26=17 29+ 19+ 37 +42+37 +26+17 17 S b) How many were enrolled in science or math? (3pts) c) How were enrolled in art and science but not math? (3pts) 17 +2 6+ 37 = 80 d) How many were enrolled in exactly one class? (3pts) M 2. Recently, the FBI reported that there were 7,160 hate crimes in the United States. Of these 3,919 were based on race, 1,227 on religion, 1,017 on sexual orientation, 944 on ethnicity, and 53 on disability. (Assume all categories are disjoint). If you selected one of these crimes randomly, what is the probability a) (3 pts) It would not be based on ethnicity b) (3 pts) It would be based on sexual orientation or religion 3. Sarah and Fatima enter the science fair. The probability of Sarah winning is 0.56, the probability of Fatima winning is 0.40, and the probability of both winning is 0.32. a) What is the probability that Sarah or Fatima wins the science fair? (3pts) b) What is the probability that only Sarah wins? (3pts) 4. If the probability that a vaccine you took will protect you from getting the flu is 0.975, what is the probability that you will get the flu? (3pts)