Name: QUIZ #2 1. Shown in the following table are the reported annual deaths of males aged 75 or over from 1 of the 5 leading types of cancer: Site of Cancer Lung Prostate Colon or Rectum Stomach Pancreas Number of Deaths 12,126 10,035 8,126 3,137 3,031 36,455 For a randomly selected deceased male cancer victim, what is the probability that a) he died of lung or prostate? Required probability =(12,126+10,035)/36,455 = .60790015 b) He died of cancer of either the stomach or the pancreas? Required probability = (3,137+3,031) / 36,455 = .16919490 c) He did not die of lung cancer? Required probability = 1- 12,126/36,455 = 0.66737073 2. Out of every 100 cars that start in the Maryland Grand Prix race, only 30 finish. Two cars are entered by the UMUC team in this year's race. a) What is the probability that both will finish? Required probability = 0.3 * 0.3 = .09 b) What is the probability that neither of UMUC's 2 cars will finish the grand prix? Required probability = .1 * .1 = .01 3. A review of the records at Lander Community College revealed the following ethnic breakdown of the student population: Caucasian 1100 Black 500 Hispanic 250 Asian 80 Native American 60 Other 20 a) What is the probability that a randomly selected student is either Caucasian or Black? Total frequency = 1100 +500+ 250 + 80 + 60 + 20 = 2, 010 Required probability = (1100 + 500)/2,010 = .79601990 b) What is the probability that the selected student is not a member of either of the two largest categories? Required probability = 1-(1100+500)/2010 = .20398010 4. Democrat Republican Independent Maryland 10 15 65 North Carolina 35 25 75 Los Angeles 60 20 70 A group of voters from 3 states were selected and the results are above. What is the probability of selecting a random voter from North Carolina, given that the voter was a republican? a).357 b).417 c).267 d).200 5. Democrat Republican Independent Maryland 10 15 65 North Carolina 35 25 75 Los Angeles 60 20 70 A group of voters from 3 states were selected and the results are above. What is the probability of selecting a random voter that is from Los Angeles or a Democrat? a).093 b).520 c).613 d).357 6. In 20 pulls of the cards, 20 cards were red. What is the probability that on the 21 st pull the card will be red? a).5000 b).2500 c).000000477 d).03125